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Finding the Fourth Proportional to 384.76, 532.02 and 360.28

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Solution

The fourth proportional to 384.76, 532.02 and 360.28 is: 498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 532.02 = 360.28 : x
  2. Step 2: Convert to fraction form
    384.76/532.02 = 360.28/x
  3. Step 3: Cross multiply
    384.76x = 532.02 × 360.28
  4. Step 4: Simplify right side
    384.76x = 191,676.17
  5. Step 5: Solve for x
    x = 191,676.17/384.76
  6. Step 6: Final answer
    x = 498.17

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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.