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Finding the Fourth Proportional to 374.40, 560.64 and 265.92

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Solution

The fourth proportional to 374.40, 560.64 and 265.92 is: 398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.40 : 560.64 = 265.92 : x
  2. Step 2: Convert to fraction form
    374.40/560.64 = 265.92/x
  3. Step 3: Cross multiply
    374.40x = 560.64 × 265.92
  4. Step 4: Simplify right side
    374.40x = 149,085.39
  5. Step 5: Solve for x
    x = 149,085.39/374.40
  6. Step 6: Final answer
    x = 398.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.