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Finding the Fourth Proportional to 525.57, 788.34 and 410.70

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Solution

The fourth proportional to 525.57, 788.34 and 410.70 is: 616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 788.34 = 410.70 : x
  2. Step 2: Convert to fraction form
    525.57/788.34 = 410.70/x
  3. Step 3: Cross multiply
    525.57x = 788.34 × 410.70
  4. Step 4: Simplify right side
    525.57x = 323,771.24
  5. Step 5: Solve for x
    x = 323,771.24/525.57
  6. Step 6: Final answer
    x = 616.04

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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.