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Finding the Fourth Proportional to 410.07, 613.77 and 256.14

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Solution

The fourth proportional to 410.07, 613.77 and 256.14 is: 383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.07 : 613.77 = 256.14 : x
  2. Step 2: Convert to fraction form
    410.07/613.77 = 256.14/x
  3. Step 3: Cross multiply
    410.07x = 613.77 × 256.14
  4. Step 4: Simplify right side
    410.07x = 157,211.05
  5. Step 5: Solve for x
    x = 157,211.05/410.07
  6. Step 6: Final answer
    x = 383.38

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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.