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Finding the Fourth Proportional to 549.98, 760.10 and 410.58

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Solution

The fourth proportional to 549.98, 760.10 and 410.58 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 760.10 = 410.58 : x
  2. Step 2: Convert to fraction form
    549.98/760.10 = 410.58/x
  3. Step 3: Cross multiply
    549.98x = 760.10 × 410.58
  4. Step 4: Simplify right side
    549.98x = 312,081.86
  5. Step 5: Solve for x
    x = 312,081.86/549.98
  6. Step 6: Final answer
    x = 567.44

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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.