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Finding the Fourth Proportional to 468.24, 702.35 and 260.13

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Solution

The fourth proportional to 468.24, 702.35 and 260.13 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.24 : 702.35 = 260.13 : x
  2. Step 2: Convert to fraction form
    468.24/702.35 = 260.13/x
  3. Step 3: Cross multiply
    468.24x = 702.35 × 260.13
  4. Step 4: Simplify right side
    468.24x = 182,706.08
  5. Step 5: Solve for x
    x = 182,706.08/468.24
  6. Step 6: Final answer
    x = 390.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.