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Finding the Fourth Proportional to 380.52, 567.95 and 328.24

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Solution

The fourth proportional to 380.52, 567.95 and 328.24 is: 489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 567.95 = 328.24 : x
  2. Step 2: Convert to fraction form
    380.52/567.95 = 328.24/x
  3. Step 3: Cross multiply
    380.52x = 567.95 × 328.24
  4. Step 4: Simplify right side
    380.52x = 186,423.91
  5. Step 5: Solve for x
    x = 186,423.91/380.52
  6. Step 6: Final answer
    x = 489.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.