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Finding the Fourth Proportional to 652.60, 978.19 and 305.72

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Solution

The fourth proportional to 652.60, 978.19 and 305.72 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.60 : 978.19 = 305.72 : x
  2. Step 2: Convert to fraction form
    652.60/978.19 = 305.72/x
  3. Step 3: Cross multiply
    652.60x = 978.19 × 305.72
  4. Step 4: Simplify right side
    652.60x = 299,049.80
  5. Step 5: Solve for x
    x = 299,049.80/652.60
  6. Step 6: Final answer
    x = 458.24

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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.