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Finding the Fourth Proportional to 423, 583.74 and 239

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Solution

The fourth proportional to 423, 583.74 and 239 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423 : 583.74 = 239 : x
  2. Step 2: Convert to fraction form
    423/583.74 = 239/x
  3. Step 3: Cross multiply
    423x = 583.74 × 239
  4. Step 4: Simplify right side
    423x = 139,513.86
  5. Step 5: Solve for x
    x = 139,513.86/423
  6. Step 6: Final answer
    x = 329.82

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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.