Home / 597.16-824.10-335.18

Finding the Fourth Proportional to 597.16, 824.10 and 335.18

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Solution

The fourth proportional to 597.16, 824.10 and 335.18 is: 462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 824.10 = 335.18 : x
  2. Step 2: Convert to fraction form
    597.16/824.10 = 335.18/x
  3. Step 3: Cross multiply
    597.16x = 824.10 × 335.18
  4. Step 4: Simplify right side
    597.16x = 276,221.84
  5. Step 5: Solve for x
    x = 276,221.84/597.16
  6. Step 6: Final answer
    x = 462.56

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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.