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Finding the Fourth Proportional to 510.48, 703.92 and 416.52

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Solution

The fourth proportional to 510.48, 703.92 and 416.52 is: 574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 703.92 = 416.52 : x
  2. Step 2: Convert to fraction form
    510.48/703.92 = 416.52/x
  3. Step 3: Cross multiply
    510.48x = 703.92 × 416.52
  4. Step 4: Simplify right side
    510.48x = 293,196.76
  5. Step 5: Solve for x
    x = 293,196.76/510.48
  6. Step 6: Final answer
    x = 574.36

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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.