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Finding the Fourth Proportional to 410.24, 565.43 and 296.78

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Solution

The fourth proportional to 410.24, 565.43 and 296.78 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 565.43 = 296.78 : x
  2. Step 2: Convert to fraction form
    410.24/565.43 = 296.78/x
  3. Step 3: Cross multiply
    410.24x = 565.43 × 296.78
  4. Step 4: Simplify right side
    410.24x = 167,804.00
  5. Step 5: Solve for x
    x = 167,804.00/410.24
  6. Step 6: Final answer
    x = 409.04

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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.