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Finding the Fourth Proportional to 528.58, 727.59 and 466.57

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Solution

The fourth proportional to 528.58, 727.59 and 466.57 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.58 : 727.59 = 466.57 : x
  2. Step 2: Convert to fraction form
    528.58/727.59 = 466.57/x
  3. Step 3: Cross multiply
    528.58x = 727.59 × 466.57
  4. Step 4: Simplify right side
    528.58x = 339,471.67
  5. Step 5: Solve for x
    x = 339,471.67/528.58
  6. Step 6: Final answer
    x = 642.23

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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.