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Finding the Fourth Proportional to 646.32, 890.11 and 557.22

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Solution

The fourth proportional to 646.32, 890.11 and 557.22 is: 767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.32 : 890.11 = 557.22 : x
  2. Step 2: Convert to fraction form
    646.32/890.11 = 557.22/x
  3. Step 3: Cross multiply
    646.32x = 890.11 × 557.22
  4. Step 4: Simplify right side
    646.32x = 495,985.70
  5. Step 5: Solve for x
    x = 495,985.70/646.32
  6. Step 6: Final answer
    x = 767.40

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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.