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Finding the Fourth Proportional to 671.42, 925.70 and 434.96

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Solution

The fourth proportional to 671.42, 925.70 and 434.96 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 925.70 = 434.96 : x
  2. Step 2: Convert to fraction form
    671.42/925.70 = 434.96/x
  3. Step 3: Cross multiply
    671.42x = 925.70 × 434.96
  4. Step 4: Simplify right side
    671.42x = 402,642.47
  5. Step 5: Solve for x
    x = 402,642.47/671.42
  6. Step 6: Final answer
    x = 599.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.