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Finding the Fourth Proportional to 565.97, 845.55 and 358.88

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Solution

The fourth proportional to 565.97, 845.55 and 358.88 is: 536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 845.55 = 358.88 : x
  2. Step 2: Convert to fraction form
    565.97/845.55 = 358.88/x
  3. Step 3: Cross multiply
    565.97x = 845.55 × 358.88
  4. Step 4: Simplify right side
    565.97x = 303,446.76
  5. Step 5: Solve for x
    x = 303,446.76/565.97
  6. Step 6: Final answer
    x = 536.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.