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Finding the Fourth Proportional to 590.04, 883.87 and 383.99

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Solution

The fourth proportional to 590.04, 883.87 and 383.99 is: 575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.04 : 883.87 = 383.99 : x
  2. Step 2: Convert to fraction form
    590.04/883.87 = 383.99/x
  3. Step 3: Cross multiply
    590.04x = 883.87 × 383.99
  4. Step 4: Simplify right side
    590.04x = 339,391.86
  5. Step 5: Solve for x
    x = 339,391.86/590.04
  6. Step 6: Final answer
    x = 575.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.