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Finding the Fourth Proportional to 513.47, 707.23 and 474.53

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Solution

The fourth proportional to 513.47, 707.23 and 474.53 is: 653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.47 : 707.23 = 474.53 : x
  2. Step 2: Convert to fraction form
    513.47/707.23 = 474.53/x
  3. Step 3: Cross multiply
    513.47x = 707.23 × 474.53
  4. Step 4: Simplify right side
    513.47x = 335,598.91
  5. Step 5: Solve for x
    x = 335,598.91/513.47
  6. Step 6: Final answer
    x = 653.59

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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.