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Finding the Fourth Proportional to 623.13, 933.45 and 458.52

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Solution

The fourth proportional to 623.13, 933.45 and 458.52 is: 686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.13 : 933.45 = 458.52 : x
  2. Step 2: Convert to fraction form
    623.13/933.45 = 458.52/x
  3. Step 3: Cross multiply
    623.13x = 933.45 × 458.52
  4. Step 4: Simplify right side
    623.13x = 428,005.49
  5. Step 5: Solve for x
    x = 428,005.49/623.13
  6. Step 6: Final answer
    x = 686.86

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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.