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Finding the Fourth Proportional to 590.78, 815.28 and 328.80

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Solution

The fourth proportional to 590.78, 815.28 and 328.80 is: 453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 815.28 = 328.80 : x
  2. Step 2: Convert to fraction form
    590.78/815.28 = 328.80/x
  3. Step 3: Cross multiply
    590.78x = 815.28 × 328.80
  4. Step 4: Simplify right side
    590.78x = 268,064.06
  5. Step 5: Solve for x
    x = 268,064.06/590.78
  6. Step 6: Final answer
    x = 453.75

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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.