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Finding the Fourth Proportional to 590.88, 815.34 and 342.24

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Solution

The fourth proportional to 590.88, 815.34 and 342.24 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 815.34 = 342.24 : x
  2. Step 2: Convert to fraction form
    590.88/815.34 = 342.24/x
  3. Step 3: Cross multiply
    590.88x = 815.34 × 342.24
  4. Step 4: Simplify right side
    590.88x = 279,041.96
  5. Step 5: Solve for x
    x = 279,041.96/590.88
  6. Step 6: Final answer
    x = 472.25

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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.