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Finding the Fourth Proportional to 598.16, 822.48 and 510.68

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Solution

The fourth proportional to 598.16, 822.48 and 510.68 is: 702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.16 : 822.48 = 510.68 : x
  2. Step 2: Convert to fraction form
    598.16/822.48 = 510.68/x
  3. Step 3: Cross multiply
    598.16x = 822.48 × 510.68
  4. Step 4: Simplify right side
    598.16x = 420,024.09
  5. Step 5: Solve for x
    x = 420,024.09/598.16
  6. Step 6: Final answer
    x = 702.19

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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.