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Finding the Fourth Proportional to 525.62, 786.80 and 410.40

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Solution

The fourth proportional to 525.62, 786.80 and 410.40 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.62 : 786.80 = 410.40 : x
  2. Step 2: Convert to fraction form
    525.62/786.80 = 410.40/x
  3. Step 3: Cross multiply
    525.62x = 786.80 × 410.40
  4. Step 4: Simplify right side
    525.62x = 322,902.72
  5. Step 5: Solve for x
    x = 322,902.72/525.62
  6. Step 6: Final answer
    x = 614.33

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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.