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Finding the Fourth Proportional to 530.56, 795.48 and 408.40

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Solution

The fourth proportional to 530.56, 795.48 and 408.40 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.56 : 795.48 = 408.40 : x
  2. Step 2: Convert to fraction form
    530.56/795.48 = 408.40/x
  3. Step 3: Cross multiply
    530.56x = 795.48 × 408.40
  4. Step 4: Simplify right side
    530.56x = 324,874.03
  5. Step 5: Solve for x
    x = 324,874.03/530.56
  6. Step 6: Final answer
    x = 612.32

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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.