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Finding the Fourth Proportional to 652.55, 978.14 and 447.07

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Solution

The fourth proportional to 652.55, 978.14 and 447.07 is: 670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.55 : 978.14 = 447.07 : x
  2. Step 2: Convert to fraction form
    652.55/978.14 = 447.07/x
  3. Step 3: Cross multiply
    652.55x = 978.14 × 447.07
  4. Step 4: Simplify right side
    652.55x = 437,297.05
  5. Step 5: Solve for x
    x = 437,297.05/652.55
  6. Step 6: Final answer
    x = 670.14

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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.