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Finding the Fourth Proportional to 597.47, 824.37 and 361.35

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Solution

The fourth proportional to 597.47, 824.37 and 361.35 is: 498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.47 : 824.37 = 361.35 : x
  2. Step 2: Convert to fraction form
    597.47/824.37 = 361.35/x
  3. Step 3: Cross multiply
    597.47x = 824.37 × 361.35
  4. Step 4: Simplify right side
    597.47x = 297,886.10
  5. Step 5: Solve for x
    x = 297,886.10/597.47
  6. Step 6: Final answer
    x = 498.58

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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.