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Finding the Fourth Proportional to 425.07, 586.49 and 292.41

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Solution

The fourth proportional to 425.07, 586.49 and 292.41 is: 403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.07 : 586.49 = 292.41 : x
  2. Step 2: Convert to fraction form
    425.07/586.49 = 292.41/x
  3. Step 3: Cross multiply
    425.07x = 586.49 × 292.41
  4. Step 4: Simplify right side
    425.07x = 171,494.08
  5. Step 5: Solve for x
    x = 171,494.08/425.07
  6. Step 6: Final answer
    x = 403.45

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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.