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Finding the Fourth Proportional to 590.94, 815.52 and 328.98

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Solution

The fourth proportional to 590.94, 815.52 and 328.98 is: 454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 815.52 = 328.98 : x
  2. Step 2: Convert to fraction form
    590.94/815.52 = 328.98/x
  3. Step 3: Cross multiply
    590.94x = 815.52 × 328.98
  4. Step 4: Simplify right side
    590.94x = 268,289.77
  5. Step 5: Solve for x
    x = 268,289.77/590.94
  6. Step 6: Final answer
    x = 454.01

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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.