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Finding the Fourth Proportional to 510.98, 705.31 and 334.06

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Solution

The fourth proportional to 510.98, 705.31 and 334.06 is: 461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 705.31 = 334.06 : x
  2. Step 2: Convert to fraction form
    510.98/705.31 = 334.06/x
  3. Step 3: Cross multiply
    510.98x = 705.31 × 334.06
  4. Step 4: Simplify right side
    510.98x = 235,613.26
  5. Step 5: Solve for x
    x = 235,613.26/510.98
  6. Step 6: Final answer
    x = 461.11

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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.