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Finding the Fourth Proportional to 652.96, 901.12 and 358.25

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Solution

The fourth proportional to 652.96, 901.12 and 358.25 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.96 : 901.12 = 358.25 : x
  2. Step 2: Convert to fraction form
    652.96/901.12 = 358.25/x
  3. Step 3: Cross multiply
    652.96x = 901.12 × 358.25
  4. Step 4: Simplify right side
    652.96x = 322,826.24
  5. Step 5: Solve for x
    x = 322,826.24/652.96
  6. Step 6: Final answer
    x = 494.41

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