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Finding the Fourth Proportional to 510.07, 703.25 and 416.72

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Solution

The fourth proportional to 510.07, 703.25 and 416.72 is: 574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 703.25 = 416.72 : x
  2. Step 2: Convert to fraction form
    510.07/703.25 = 416.72/x
  3. Step 3: Cross multiply
    510.07x = 703.25 × 416.72
  4. Step 4: Simplify right side
    510.07x = 293,058.34
  5. Step 5: Solve for x
    x = 293,058.34/510.07
  6. Step 6: Final answer
    x = 574.55

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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.