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Finding the Fourth Proportional to 597.52, 824.36 and 390.80

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Solution

The fourth proportional to 597.52, 824.36 and 390.80 is: 539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 824.36 = 390.80 : x
  2. Step 2: Convert to fraction form
    597.52/824.36 = 390.80/x
  3. Step 3: Cross multiply
    597.52x = 824.36 × 390.80
  4. Step 4: Simplify right side
    597.52x = 322,159.89
  5. Step 5: Solve for x
    x = 322,159.89/597.52
  6. Step 6: Final answer
    x = 539.16

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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.