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Finding the Fourth Proportional to 546.68, 753.57 and 505.64

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Solution

The fourth proportional to 546.68, 753.57 and 505.64 is: 697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 753.57 = 505.64 : x
  2. Step 2: Convert to fraction form
    546.68/753.57 = 505.64/x
  3. Step 3: Cross multiply
    546.68x = 753.57 × 505.64
  4. Step 4: Simplify right side
    546.68x = 381,037.02
  5. Step 5: Solve for x
    x = 381,037.02/546.68
  6. Step 6: Final answer
    x = 697.00

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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.