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Finding the Fourth Proportional to 410.52, 565.74 and 293.88

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Solution

The fourth proportional to 410.52, 565.74 and 293.88 is: 405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.52 : 565.74 = 293.88 : x
  2. Step 2: Convert to fraction form
    410.52/565.74 = 293.88/x
  3. Step 3: Cross multiply
    410.52x = 565.74 × 293.88
  4. Step 4: Simplify right side
    410.52x = 166,259.67
  5. Step 5: Solve for x
    x = 166,259.67/410.52
  6. Step 6: Final answer
    x = 405.00

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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.