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Finding the Fourth Proportional to 509.16, 762.66 and 472.44

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Solution

The fourth proportional to 509.16, 762.66 and 472.44 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 762.66 = 472.44 : x
  2. Step 2: Convert to fraction form
    509.16/762.66 = 472.44/x
  3. Step 3: Cross multiply
    509.16x = 762.66 × 472.44
  4. Step 4: Simplify right side
    509.16x = 360,311.09
  5. Step 5: Solve for x
    x = 360,311.09/509.16
  6. Step 6: Final answer
    x = 707.66

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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.