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Finding the Fourth Proportional to 590.95, 815.59 and 342.41

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Solution

The fourth proportional to 590.95, 815.59 and 342.41 is: 472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.95 : 815.59 = 342.41 : x
  2. Step 2: Convert to fraction form
    590.95/815.59 = 342.41/x
  3. Step 3: Cross multiply
    590.95x = 815.59 × 342.41
  4. Step 4: Simplify right side
    590.95x = 279,265.18
  5. Step 5: Solve for x
    x = 279,265.18/590.95
  6. Step 6: Final answer
    x = 472.57

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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.