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Finding the Fourth Proportional to 671.98, 927.50 and 410.08

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Solution

The fourth proportional to 671.98, 927.50 and 410.08 is: 566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.98 : 927.50 = 410.08 : x
  2. Step 2: Convert to fraction form
    671.98/927.50 = 410.08/x
  3. Step 3: Cross multiply
    671.98x = 927.50 × 410.08
  4. Step 4: Simplify right side
    671.98x = 380,350.23
  5. Step 5: Solve for x
    x = 380,350.23/671.98
  6. Step 6: Final answer
    x = 566.01

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1.5x scale

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.