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Finding the Fourth Proportional to 566.04, 847.86 and 462.84

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Solution

The fourth proportional to 566.04, 847.86 and 462.84 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 847.86 = 462.84 : x
  2. Step 2: Convert to fraction form
    566.04/847.86 = 462.84/x
  3. Step 3: Cross multiply
    566.04x = 847.86 × 462.84
  4. Step 4: Simplify right side
    566.04x = 392,423.52
  5. Step 5: Solve for x
    x = 392,423.52/566.04
  6. Step 6: Final answer
    x = 693.28

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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.