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Finding the Fourth Proportional to 510.14, 703.62 and 313.50

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Solution

The fourth proportional to 510.14, 703.62 and 313.50 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.14 : 703.62 = 313.50 : x
  2. Step 2: Convert to fraction form
    510.14/703.62 = 313.50/x
  3. Step 3: Cross multiply
    510.14x = 703.62 × 313.50
  4. Step 4: Simplify right side
    510.14x = 220,584.87
  5. Step 5: Solve for x
    x = 220,584.87/510.14
  6. Step 6: Final answer
    x = 432.40

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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.