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Finding the Fourth Proportional to 555.84, 766.80 and 416.52

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Solution

The fourth proportional to 555.84, 766.80 and 416.52 is: 574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 766.80 = 416.52 : x
  2. Step 2: Convert to fraction form
    555.84/766.80 = 416.52/x
  3. Step 3: Cross multiply
    555.84x = 766.80 × 416.52
  4. Step 4: Simplify right side
    555.84x = 319,387.54
  5. Step 5: Solve for x
    x = 319,387.54/555.84
  6. Step 6: Final answer
    x = 574.60

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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.