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Finding the Fourth Proportional to 566.65, 781.81 and 435.43

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Solution

The fourth proportional to 566.65, 781.81 and 435.43 is: 600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.65 : 781.81 = 435.43 : x
  2. Step 2: Convert to fraction form
    566.65/781.81 = 435.43/x
  3. Step 3: Cross multiply
    566.65x = 781.81 × 435.43
  4. Step 4: Simplify right side
    566.65x = 340,423.53
  5. Step 5: Solve for x
    x = 340,423.53/566.65
  6. Step 6: Final answer
    x = 600.77

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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.