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Finding the Fourth Proportional to 572.64, 860.16 and 410.64

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Solution

The fourth proportional to 572.64, 860.16 and 410.64 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 860.16 = 410.64 : x
  2. Step 2: Convert to fraction form
    572.64/860.16 = 410.64/x
  3. Step 3: Cross multiply
    572.64x = 860.16 × 410.64
  4. Step 4: Simplify right side
    572.64x = 353,216.10
  5. Step 5: Solve for x
    x = 353,216.10/572.64
  6. Step 6: Final answer
    x = 616.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.