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Finding the Fourth Proportional to 652.77, 901.12 and 417.04

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Solution

The fourth proportional to 652.77, 901.12 and 417.04 is: 575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 901.12 = 417.04 : x
  2. Step 2: Convert to fraction form
    652.77/901.12 = 417.04/x
  3. Step 3: Cross multiply
    652.77x = 901.12 × 417.04
  4. Step 4: Simplify right side
    652.77x = 375,799.79
  5. Step 5: Solve for x
    x = 375,799.79/652.77
  6. Step 6: Final answer
    x = 575.70

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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.