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Finding the Fourth Proportional to 590.16, 885.38 and 580.36

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Solution

The fourth proportional to 590.16, 885.38 and 580.36 is: 870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.16 : 885.38 = 580.36 : x
  2. Step 2: Convert to fraction form
    590.16/885.38 = 580.36/x
  3. Step 3: Cross multiply
    590.16x = 885.38 × 580.36
  4. Step 4: Simplify right side
    590.16x = 513,839.14
  5. Step 5: Solve for x
    x = 513,839.14/590.16
  6. Step 6: Final answer
    x = 870.68

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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.