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Finding the Fourth Proportional to 510.93, 705.06 and 314.46

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Solution

The fourth proportional to 510.93, 705.06 and 314.46 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 705.06 = 314.46 : x
  2. Step 2: Convert to fraction form
    510.93/705.06 = 314.46/x
  3. Step 3: Cross multiply
    510.93x = 705.06 × 314.46
  4. Step 4: Simplify right side
    510.93x = 221,713.17
  5. Step 5: Solve for x
    x = 221,713.17/510.93
  6. Step 6: Final answer
    x = 433.94

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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.