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Finding the Fourth Proportional to 510.26, 703.42 and 503.30

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Solution

The fourth proportional to 510.26, 703.42 and 503.30 is: 693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.26 : 703.42 = 503.30 : x
  2. Step 2: Convert to fraction form
    510.26/703.42 = 503.30/x
  3. Step 3: Cross multiply
    510.26x = 703.42 × 503.30
  4. Step 4: Simplify right side
    510.26x = 354,031.79
  5. Step 5: Solve for x
    x = 354,031.79/510.26
  6. Step 6: Final answer
    x = 693.83

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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.