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Finding the Fourth Proportional to 546.02, 753.52 and 313.15

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Solution

The fourth proportional to 546.02, 753.52 and 313.15 is: 432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.02 : 753.52 = 313.15 : x
  2. Step 2: Convert to fraction form
    546.02/753.52 = 313.15/x
  3. Step 3: Cross multiply
    546.02x = 753.52 × 313.15
  4. Step 4: Simplify right side
    546.02x = 235,961.02
  5. Step 5: Solve for x
    x = 235,961.02/546.02
  6. Step 6: Final answer
    x = 432.15

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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.