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Finding the Fourth Proportional to 555.98, 831.68 and 457.38

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Solution

The fourth proportional to 555.98, 831.68 and 457.38 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.98 : 831.68 = 457.38 : x
  2. Step 2: Convert to fraction form
    555.98/831.68 = 457.38/x
  3. Step 3: Cross multiply
    555.98x = 831.68 × 457.38
  4. Step 4: Simplify right side
    555.98x = 380,393.80
  5. Step 5: Solve for x
    x = 380,393.80/555.98
  6. Step 6: Final answer
    x = 684.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.