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Finding the Fourth Proportional to 652.56, 978.72 and 420.72

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Solution

The fourth proportional to 652.56, 978.72 and 420.72 is: 631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 978.72 = 420.72 : x
  2. Step 2: Convert to fraction form
    652.56/978.72 = 420.72/x
  3. Step 3: Cross multiply
    652.56x = 978.72 × 420.72
  4. Step 4: Simplify right side
    652.56x = 411,767.08
  5. Step 5: Solve for x
    x = 411,767.08/652.56
  6. Step 6: Final answer
    x = 631.00

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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.