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Finding the Fourth Proportional to 528.66, 727.71 and 459.54

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Solution

The fourth proportional to 528.66, 727.71 and 459.54 is: 632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 727.71 = 459.54 : x
  2. Step 2: Convert to fraction form
    528.66/727.71 = 459.54/x
  3. Step 3: Cross multiply
    528.66x = 727.71 × 459.54
  4. Step 4: Simplify right side
    528.66x = 334,411.85
  5. Step 5: Solve for x
    x = 334,411.85/528.66
  6. Step 6: Final answer
    x = 632.57

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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.