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Finding the Fourth Proportional to 617.48, 852.14 and 421.08

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Solution

The fourth proportional to 617.48, 852.14 and 421.08 is: 581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.48 : 852.14 = 421.08 : x
  2. Step 2: Convert to fraction form
    617.48/852.14 = 421.08/x
  3. Step 3: Cross multiply
    617.48x = 852.14 × 421.08
  4. Step 4: Simplify right side
    617.48x = 358,819.11
  5. Step 5: Solve for x
    x = 358,819.11/617.48
  6. Step 6: Final answer
    x = 581.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.