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Finding the Fourth Proportional to 590.07, 884.60 and 395.07

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Solution

The fourth proportional to 590.07, 884.60 and 395.07 is: 592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.07 : 884.60 = 395.07 : x
  2. Step 2: Convert to fraction form
    590.07/884.60 = 395.07/x
  3. Step 3: Cross multiply
    590.07x = 884.60 × 395.07
  4. Step 4: Simplify right side
    590.07x = 349,478.92
  5. Step 5: Solve for x
    x = 349,478.92/590.07
  6. Step 6: Final answer
    x = 592.27

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