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Finding the Fourth Proportional to 528.53, 730.40 and 428.76

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Solution

The fourth proportional to 528.53, 730.40 and 428.76 is: 592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.53 : 730.40 = 428.76 : x
  2. Step 2: Convert to fraction form
    528.53/730.40 = 428.76/x
  3. Step 3: Cross multiply
    528.53x = 730.40 × 428.76
  4. Step 4: Simplify right side
    528.53x = 313,164.16
  5. Step 5: Solve for x
    x = 313,164.16/528.53
  6. Step 6: Final answer
    x = 592.52

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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.