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Finding the Fourth Proportional to 410.16, 565.92 and 293.52

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Solution

The fourth proportional to 410.16, 565.92 and 293.52 is: 404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 565.92 = 293.52 : x
  2. Step 2: Convert to fraction form
    410.16/565.92 = 293.52/x
  3. Step 3: Cross multiply
    410.16x = 565.92 × 293.52
  4. Step 4: Simplify right side
    410.16x = 166,108.84
  5. Step 5: Solve for x
    x = 166,108.84/410.16
  6. Step 6: Final answer
    x = 404.99

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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.