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Finding the Fourth Proportional to 410.16, 565.60 and 294.24

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Solution

The fourth proportional to 410.16, 565.60 and 294.24 is: 405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 565.60 = 294.24 : x
  2. Step 2: Convert to fraction form
    410.16/565.60 = 294.24/x
  3. Step 3: Cross multiply
    410.16x = 565.60 × 294.24
  4. Step 4: Simplify right side
    410.16x = 166,422.14
  5. Step 5: Solve for x
    x = 166,422.14/410.16
  6. Step 6: Final answer
    x = 405.75

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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.