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Finding the Fourth Proportional to 614.40, 920.16 and 468.96

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Solution

The fourth proportional to 614.40, 920.16 and 468.96 is: 702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 920.16 = 468.96 : x
  2. Step 2: Convert to fraction form
    614.40/920.16 = 468.96/x
  3. Step 3: Cross multiply
    614.40x = 920.16 × 468.96
  4. Step 4: Simplify right side
    614.40x = 431,518.23
  5. Step 5: Solve for x
    x = 431,518.23/614.40
  6. Step 6: Final answer
    x = 702.34

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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.