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Finding the Fourth Proportional to 468.52, 702.72 and 339.14

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Solution

The fourth proportional to 468.52, 702.72 and 339.14 is: 508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 702.72 = 339.14 : x
  2. Step 2: Convert to fraction form
    468.52/702.72 = 339.14/x
  3. Step 3: Cross multiply
    468.52x = 702.72 × 339.14
  4. Step 4: Simplify right side
    468.52x = 238,320.46
  5. Step 5: Solve for x
    x = 238,320.46/468.52
  6. Step 6: Final answer
    x = 508.67

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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.