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Finding the Fourth Proportional to 588.40, 810.74 and 483.13

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Solution

The fourth proportional to 588.40, 810.74 and 483.13 is: 665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.40 : 810.74 = 483.13 : x
  2. Step 2: Convert to fraction form
    588.40/810.74 = 483.13/x
  3. Step 3: Cross multiply
    588.40x = 810.74 × 483.13
  4. Step 4: Simplify right side
    588.40x = 391,695.04
  5. Step 5: Solve for x
    x = 391,695.04/588.40
  6. Step 6: Final answer
    x = 665.70

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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.