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Finding the Fourth Proportional to 598.42, 824.65 and 423.46

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Solution

The fourth proportional to 598.42, 824.65 and 423.46 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.42 : 824.65 = 423.46 : x
  2. Step 2: Convert to fraction form
    598.42/824.65 = 423.46/x
  3. Step 3: Cross multiply
    598.42x = 824.65 × 423.46
  4. Step 4: Simplify right side
    598.42x = 349,206.29
  5. Step 5: Solve for x
    x = 349,206.29/598.42
  6. Step 6: Final answer
    x = 583.55

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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.