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Finding the Fourth Proportional to 646.38, 891.78 and 384.24

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Solution

The fourth proportional to 646.38, 891.78 and 384.24 is: 530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.38 : 891.78 = 384.24 : x
  2. Step 2: Convert to fraction form
    646.38/891.78 = 384.24/x
  3. Step 3: Cross multiply
    646.38x = 891.78 × 384.24
  4. Step 4: Simplify right side
    646.38x = 342,657.55
  5. Step 5: Solve for x
    x = 342,657.55/646.38
  6. Step 6: Final answer
    x = 530.12

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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.