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Finding the Fourth Proportional to 588.30, 809.89 and 510.67

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Solution

The fourth proportional to 588.30, 809.89 and 510.67 is: 703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 809.89 = 510.67 : x
  2. Step 2: Convert to fraction form
    588.30/809.89 = 510.67/x
  3. Step 3: Cross multiply
    588.30x = 809.89 × 510.67
  4. Step 4: Simplify right side
    588.30x = 413,586.53
  5. Step 5: Solve for x
    x = 413,586.53/588.30
  6. Step 6: Final answer
    x = 703.02

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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.