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Finding the Fourth Proportional to 673.16, 928.56 and 410.72

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Solution

The fourth proportional to 673.16, 928.56 and 410.72 is: 566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.16 : 928.56 = 410.72 : x
  2. Step 2: Convert to fraction form
    673.16/928.56 = 410.72/x
  3. Step 3: Cross multiply
    673.16x = 928.56 × 410.72
  4. Step 4: Simplify right side
    673.16x = 381,375.46
  5. Step 5: Solve for x
    x = 381,375.46/673.16
  6. Step 6: Final answer
    x = 566.55

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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.