Home / 597.14-824.13-361.10

Finding the Fourth Proportional to 597.14, 824.13 and 361.10

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Solution

The fourth proportional to 597.14, 824.13 and 361.10 is: 498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.14 : 824.13 = 361.10 : x
  2. Step 2: Convert to fraction form
    597.14/824.13 = 361.10/x
  3. Step 3: Cross multiply
    597.14x = 824.13 × 361.10
  4. Step 4: Simplify right side
    597.14x = 297,593.34
  5. Step 5: Solve for x
    x = 297,593.34/597.14
  6. Step 6: Final answer
    x = 498.36

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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.