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Finding the Fourth Proportional to 526.72, 725.58 and 451.78

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Solution

The fourth proportional to 526.72, 725.58 and 451.78 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.72 : 725.58 = 451.78 : x
  2. Step 2: Convert to fraction form
    526.72/725.58 = 451.78/x
  3. Step 3: Cross multiply
    526.72x = 725.58 × 451.78
  4. Step 4: Simplify right side
    526.72x = 327,802.53
  5. Step 5: Solve for x
    x = 327,802.53/526.72
  6. Step 6: Final answer
    x = 622.35

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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.