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Finding the Fourth Proportional to 555.30, 766.62 and 424.56

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Solution

The fourth proportional to 555.30, 766.62 and 424.56 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.30 : 766.62 = 424.56 : x
  2. Step 2: Convert to fraction form
    555.30/766.62 = 424.56/x
  3. Step 3: Cross multiply
    555.30x = 766.62 × 424.56
  4. Step 4: Simplify right side
    555.30x = 325,476.19
  5. Step 5: Solve for x
    x = 325,476.19/555.30
  6. Step 6: Final answer
    x = 586.13

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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.