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Finding the Fourth Proportional to 599.16, 826.14 and 386.19

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Solution

The fourth proportional to 599.16, 826.14 and 386.19 is: 532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 826.14 = 386.19 : x
  2. Step 2: Convert to fraction form
    599.16/826.14 = 386.19/x
  3. Step 3: Cross multiply
    599.16x = 826.14 × 386.19
  4. Step 4: Simplify right side
    599.16x = 319,047.01
  5. Step 5: Solve for x
    x = 319,047.01/599.16
  6. Step 6: Final answer
    x = 532.49

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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.