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Finding the Fourth Proportional to 590.65, 886.12 and 297.43

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Solution

The fourth proportional to 590.65, 886.12 and 297.43 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.65 : 886.12 = 297.43 : x
  2. Step 2: Convert to fraction form
    590.65/886.12 = 297.43/x
  3. Step 3: Cross multiply
    590.65x = 886.12 × 297.43
  4. Step 4: Simplify right side
    590.65x = 263,555.71
  5. Step 5: Solve for x
    x = 263,555.71/590.65
  6. Step 6: Final answer
    x = 446.21

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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.