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Finding the Fourth Proportional to 509.92, 764.16 and 470.68

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Solution

The fourth proportional to 509.92, 764.16 and 470.68 is: 705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 764.16 = 470.68 : x
  2. Step 2: Convert to fraction form
    509.92/764.16 = 470.68/x
  3. Step 3: Cross multiply
    509.92x = 764.16 × 470.68
  4. Step 4: Simplify right side
    509.92x = 359,674.83
  5. Step 5: Solve for x
    x = 359,674.83/509.92
  6. Step 6: Final answer
    x = 705.36

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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.