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Finding the Fourth Proportional to 517.86, 776.10 and 462.96

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Solution

The fourth proportional to 517.86, 776.10 and 462.96 is: 693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 776.10 = 462.96 : x
  2. Step 2: Convert to fraction form
    517.86/776.10 = 462.96/x
  3. Step 3: Cross multiply
    517.86x = 776.10 × 462.96
  4. Step 4: Simplify right side
    517.86x = 359,303.26
  5. Step 5: Solve for x
    x = 359,303.26/517.86
  6. Step 6: Final answer
    x = 693.82

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.