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Finding the Fourth Proportional to 671.77, 924.55 and 474.94

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Solution

The fourth proportional to 671.77, 924.55 and 474.94 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.77 : 924.55 = 474.94 : x
  2. Step 2: Convert to fraction form
    671.77/924.55 = 474.94/x
  3. Step 3: Cross multiply
    671.77x = 924.55 × 474.94
  4. Step 4: Simplify right side
    671.77x = 439,105.78
  5. Step 5: Solve for x
    x = 439,105.78/671.77
  6. Step 6: Final answer
    x = 653.65

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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.