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Finding the Fourth Proportional to 546.64, 818.72 and 314.98

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Solution

The fourth proportional to 546.64, 818.72 and 314.98 is: 471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.64 : 818.72 = 314.98 : x
  2. Step 2: Convert to fraction form
    546.64/818.72 = 314.98/x
  3. Step 3: Cross multiply
    546.64x = 818.72 × 314.98
  4. Step 4: Simplify right side
    546.64x = 257,877.12
  5. Step 5: Solve for x
    x = 257,877.12/546.64
  6. Step 6: Final answer
    x = 471.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.