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Finding the Fourth Proportional to 562.92, 778.28 and 389.56

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Solution

The fourth proportional to 562.92, 778.28 and 389.56 is: 538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 778.28 = 389.56 : x
  2. Step 2: Convert to fraction form
    562.92/778.28 = 389.56/x
  3. Step 3: Cross multiply
    562.92x = 778.28 × 389.56
  4. Step 4: Simplify right side
    562.92x = 303,186.76
  5. Step 5: Solve for x
    x = 303,186.76/562.92
  6. Step 6: Final answer
    x = 538.60

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1.5x scale

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.