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Finding the Fourth Proportional to 565.64, 838.48 and 556.92

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Solution

The fourth proportional to 565.64, 838.48 and 556.92 is: 825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.64 : 838.48 = 556.92 : x
  2. Step 2: Convert to fraction form
    565.64/838.48 = 556.92/x
  3. Step 3: Cross multiply
    565.64x = 838.48 × 556.92
  4. Step 4: Simplify right side
    565.64x = 466,966.28
  5. Step 5: Solve for x
    x = 466,966.28/565.64
  6. Step 6: Final answer
    x = 825.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.