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Finding the Fourth Proportional to 510.08, 703.40 and 416.53

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Solution

The fourth proportional to 510.08, 703.40 and 416.53 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.08 : 703.40 = 416.53 : x
  2. Step 2: Convert to fraction form
    510.08/703.40 = 416.53/x
  3. Step 3: Cross multiply
    510.08x = 703.40 × 416.53
  4. Step 4: Simplify right side
    510.08x = 292,987.20
  5. Step 5: Solve for x
    x = 292,987.20/510.08
  6. Step 6: Final answer
    x = 574.39

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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.