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Finding the Fourth Proportional to 652.98, 901.14 and 358.26

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Solution

The fourth proportional to 652.98, 901.14 and 358.26 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.98 : 901.14 = 358.26 : x
  2. Step 2: Convert to fraction form
    652.98/901.14 = 358.26/x
  3. Step 3: Cross multiply
    652.98x = 901.14 × 358.26
  4. Step 4: Simplify right side
    652.98x = 322,842.42
  5. Step 5: Solve for x
    x = 322,842.42/652.98
  6. Step 6: Final answer
    x = 494.41

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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.