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Finding the Fourth Proportional to 590.67, 886.05 and 430.29

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Solution

The fourth proportional to 590.67, 886.05 and 430.29 is: 645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 886.05 = 430.29 : x
  2. Step 2: Convert to fraction form
    590.67/886.05 = 430.29/x
  3. Step 3: Cross multiply
    590.67x = 886.05 × 430.29
  4. Step 4: Simplify right side
    590.67x = 381,258.45
  5. Step 5: Solve for x
    x = 381,258.45/590.67
  6. Step 6: Final answer
    x = 645.47

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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.