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Finding the Fourth Proportional to 652.74, 900.80 and 358.03

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Solution

The fourth proportional to 652.74, 900.80 and 358.03 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.74 : 900.80 = 358.03 : x
  2. Step 2: Convert to fraction form
    652.74/900.80 = 358.03/x
  3. Step 3: Cross multiply
    652.74x = 900.80 × 358.03
  4. Step 4: Simplify right side
    652.74x = 322,507.13
  5. Step 5: Solve for x
    x = 322,507.13/652.74
  6. Step 6: Final answer
    x = 494.09

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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.