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Finding the Fourth Proportional to 609.88, 841.70 and 590.74

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Solution

The fourth proportional to 609.88, 841.70 and 590.74 is: 815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.88 : 841.70 = 590.74 : x
  2. Step 2: Convert to fraction form
    609.88/841.70 = 590.74/x
  3. Step 3: Cross multiply
    609.88x = 841.70 × 590.74
  4. Step 4: Simplify right side
    609.88x = 497,228.39
  5. Step 5: Solve for x
    x = 497,228.39/609.88
  6. Step 6: Final answer
    x = 815.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.