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Finding the Fourth Proportional to 410.47, 566.29 and 262.95

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Solution

The fourth proportional to 410.47, 566.29 and 262.95 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.47 : 566.29 = 262.95 : x
  2. Step 2: Convert to fraction form
    410.47/566.29 = 262.95/x
  3. Step 3: Cross multiply
    410.47x = 566.29 × 262.95
  4. Step 4: Simplify right side
    410.47x = 148,904.16
  5. Step 5: Solve for x
    x = 148,904.16/410.47
  6. Step 6: Final answer
    x = 362.77

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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.