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Finding the Fourth Proportional to 510.57, 703.81 and 313.74

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Solution

The fourth proportional to 510.57, 703.81 and 313.74 is: 432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 703.81 = 313.74 : x
  2. Step 2: Convert to fraction form
    510.57/703.81 = 313.74/x
  3. Step 3: Cross multiply
    510.57x = 703.81 × 313.74
  4. Step 4: Simplify right side
    510.57x = 220,813.35
  5. Step 5: Solve for x
    x = 220,813.35/510.57
  6. Step 6: Final answer
    x = 432.48

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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.