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Finding the Fourth Proportional to 410.08, 565.76 and 268.06

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Solution

The fourth proportional to 410.08, 565.76 and 268.06 is: 369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 565.76 = 268.06 : x
  2. Step 2: Convert to fraction form
    410.08/565.76 = 268.06/x
  3. Step 3: Cross multiply
    410.08x = 565.76 × 268.06
  4. Step 4: Simplify right side
    410.08x = 151,657.63
  5. Step 5: Solve for x
    x = 151,657.63/410.08
  6. Step 6: Final answer
    x = 369.82

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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.