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Finding the Fourth Proportional to 549.59, 758.50 and 307.08

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Solution

The fourth proportional to 549.59, 758.50 and 307.08 is: 423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.59 : 758.50 = 307.08 : x
  2. Step 2: Convert to fraction form
    549.59/758.50 = 307.08/x
  3. Step 3: Cross multiply
    549.59x = 758.50 × 307.08
  4. Step 4: Simplify right side
    549.59x = 232,920.18
  5. Step 5: Solve for x
    x = 232,920.18/549.59
  6. Step 6: Final answer
    x = 423.81

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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.