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Finding the Fourth Proportional to 549.46, 758.14 and 313.35

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Solution

The fourth proportional to 549.46, 758.14 and 313.35 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 758.14 = 313.35 : x
  2. Step 2: Convert to fraction form
    549.46/758.14 = 313.35/x
  3. Step 3: Cross multiply
    549.46x = 758.14 × 313.35
  4. Step 4: Simplify right side
    549.46x = 237,563.17
  5. Step 5: Solve for x
    x = 237,563.17/549.46
  6. Step 6: Final answer
    x = 432.36

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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.