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Finding the Fourth Proportional to 500.53, 689.23 and 475.93

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Solution

The fourth proportional to 500.53, 689.23 and 475.93 is: 655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.53 : 689.23 = 475.93 : x
  2. Step 2: Convert to fraction form
    500.53/689.23 = 475.93/x
  3. Step 3: Cross multiply
    500.53x = 689.23 × 475.93
  4. Step 4: Simplify right side
    500.53x = 328,024.15
  5. Step 5: Solve for x
    x = 328,024.15/500.53
  6. Step 6: Final answer
    x = 655.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.