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Finding the Fourth Proportional to 651.62, 978.24 and 434.54

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Solution

The fourth proportional to 651.62, 978.24 and 434.54 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 978.24 = 434.54 : x
  2. Step 2: Convert to fraction form
    651.62/978.24 = 434.54/x
  3. Step 3: Cross multiply
    651.62x = 978.24 × 434.54
  4. Step 4: Simplify right side
    651.62x = 425,084.41
  5. Step 5: Solve for x
    x = 425,084.41/651.62
  6. Step 6: Final answer
    x = 652.35

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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.