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Finding the Fourth Proportional to 510.17, 703.78 and 313.34

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Solution

The fourth proportional to 510.17, 703.78 and 313.34 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.17 : 703.78 = 313.34 : x
  2. Step 2: Convert to fraction form
    510.17/703.78 = 313.34/x
  3. Step 3: Cross multiply
    510.17x = 703.78 × 313.34
  4. Step 4: Simplify right side
    510.17x = 220,522.31
  5. Step 5: Solve for x
    x = 220,522.31/510.17
  6. Step 6: Final answer
    x = 432.25

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1.5x scale

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.