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Finding the Fourth Proportional to 435.48, 652.24 and 297.91

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Solution

The fourth proportional to 435.48, 652.24 and 297.91 is: 446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 652.24 = 297.91 : x
  2. Step 2: Convert to fraction form
    435.48/652.24 = 297.91/x
  3. Step 3: Cross multiply
    435.48x = 652.24 × 297.91
  4. Step 4: Simplify right side
    435.48x = 194,308.82
  5. Step 5: Solve for x
    x = 194,308.82/435.48
  6. Step 6: Final answer
    x = 446.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.