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Finding the Fourth Proportional to 473.85, 652.66 and 411.68

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Solution

The fourth proportional to 473.85, 652.66 and 411.68 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 652.66 = 411.68 : x
  2. Step 2: Convert to fraction form
    473.85/652.66 = 411.68/x
  3. Step 3: Cross multiply
    473.85x = 652.66 × 411.68
  4. Step 4: Simplify right side
    473.85x = 268,687.67
  5. Step 5: Solve for x
    x = 268,687.67/473.85
  6. Step 6: Final answer
    x = 567.03

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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.