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Finding the Fourth Proportional to 590.54, 884.07 and 370.45

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Solution

The fourth proportional to 590.54, 884.07 and 370.45 is: 554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.54 : 884.07 = 370.45 : x
  2. Step 2: Convert to fraction form
    590.54/884.07 = 370.45/x
  3. Step 3: Cross multiply
    590.54x = 884.07 × 370.45
  4. Step 4: Simplify right side
    590.54x = 327,499.31
  5. Step 5: Solve for x
    x = 327,499.31/590.54
  6. Step 6: Final answer
    x = 554.58

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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.