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Finding the Fourth Proportional to 652.93, 901.07 and 358.21

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Solution

The fourth proportional to 652.93, 901.07 and 358.21 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.93 : 901.07 = 358.21 : x
  2. Step 2: Convert to fraction form
    652.93/901.07 = 358.21/x
  3. Step 3: Cross multiply
    652.93x = 901.07 × 358.21
  4. Step 4: Simplify right side
    652.93x = 322,770.49
  5. Step 5: Solve for x
    x = 322,770.49/652.93
  6. Step 6: Final answer
    x = 494.34

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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.