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Finding the Fourth Proportional to 523.39, 722.55 and 405.10

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Solution

The fourth proportional to 523.39, 722.55 and 405.10 is: 559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.39 : 722.55 = 405.10 : x
  2. Step 2: Convert to fraction form
    523.39/722.55 = 405.10/x
  3. Step 3: Cross multiply
    523.39x = 722.55 × 405.10
  4. Step 4: Simplify right side
    523.39x = 292,702.98
  5. Step 5: Solve for x
    x = 292,702.98/523.39
  6. Step 6: Final answer
    x = 559.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.