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Finding the Fourth Proportional to 555.48, 766.42 and 407.86

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Solution

The fourth proportional to 555.48, 766.42 and 407.86 is: 562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 766.42 = 407.86 : x
  2. Step 2: Convert to fraction form
    555.48/766.42 = 407.86/x
  3. Step 3: Cross multiply
    555.48x = 766.42 × 407.86
  4. Step 4: Simplify right side
    555.48x = 312,592.06
  5. Step 5: Solve for x
    x = 312,592.06/555.48
  6. Step 6: Final answer
    x = 562.74

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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.