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Finding the Fourth Proportional to 568.24, 783 and 435.46

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Solution

The fourth proportional to 568.24, 783 and 435.46 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.24 : 783 = 435.46 : x
  2. Step 2: Convert to fraction form
    568.24/783 = 435.46/x
  3. Step 3: Cross multiply
    568.24x = 783 × 435.46
  4. Step 4: Simplify right side
    568.24x = 340,965.18
  5. Step 5: Solve for x
    x = 340,965.18/568.24
  6. Step 6: Final answer
    x = 600.04

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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.