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Finding the Fourth Proportional to 530.54, 795.10 and 408.23

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Solution

The fourth proportional to 530.54, 795.10 and 408.23 is: 611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.54 : 795.10 = 408.23 : x
  2. Step 2: Convert to fraction form
    530.54/795.10 = 408.23/x
  3. Step 3: Cross multiply
    530.54x = 795.10 × 408.23
  4. Step 4: Simplify right side
    530.54x = 324,583.67
  5. Step 5: Solve for x
    x = 324,583.67/530.54
  6. Step 6: Final answer
    x = 611.80

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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.