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Finding the Fourth Proportional to 646.65, 892.50 and 384.81

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Solution

The fourth proportional to 646.65, 892.50 and 384.81 is: 531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 892.50 = 384.81 : x
  2. Step 2: Convert to fraction form
    646.65/892.50 = 384.81/x
  3. Step 3: Cross multiply
    646.65x = 892.50 × 384.81
  4. Step 4: Simplify right side
    646.65x = 343,442.93
  5. Step 5: Solve for x
    x = 343,442.93/646.65
  6. Step 6: Final answer
    x = 531.11

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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.