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Finding the Fourth Proportional to 646.18, 891.57 and 384.07

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Solution

The fourth proportional to 646.18, 891.57 and 384.07 is: 529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.18 : 891.57 = 384.07 : x
  2. Step 2: Convert to fraction form
    646.18/891.57 = 384.07/x
  3. Step 3: Cross multiply
    646.18x = 891.57 × 384.07
  4. Step 4: Simplify right side
    646.18x = 342,425.29
  5. Step 5: Solve for x
    x = 342,425.29/646.18
  6. Step 6: Final answer
    x = 529.92

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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.