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Finding the Fourth Proportional to 407.86, 562.72 and 250.45

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Solution

The fourth proportional to 407.86, 562.72 and 250.45 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.86 : 562.72 = 250.45 : x
  2. Step 2: Convert to fraction form
    407.86/562.72 = 250.45/x
  3. Step 3: Cross multiply
    407.86x = 562.72 × 250.45
  4. Step 4: Simplify right side
    407.86x = 140,931.19
  5. Step 5: Solve for x
    x = 140,931.19/407.86
  6. Step 6: Final answer
    x = 345.54

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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.