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Finding the Fourth Proportional to 389.61, 583.88 and 286.74

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Solution

The fourth proportional to 389.61, 583.88 and 286.74 is: 429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.61 : 583.88 = 286.74 : x
  2. Step 2: Convert to fraction form
    389.61/583.88 = 286.74/x
  3. Step 3: Cross multiply
    389.61x = 583.88 × 286.74
  4. Step 4: Simplify right side
    389.61x = 167,420.32
  5. Step 5: Solve for x
    x = 167,420.32/389.61
  6. Step 6: Final answer
    x = 429.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.