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Finding the Fourth Proportional to 598.40, 824.96 and 576

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Solution

The fourth proportional to 598.40, 824.96 and 576 is: 794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 824.96 = 576 : x
  2. Step 2: Convert to fraction form
    598.40/824.96 = 576/x
  3. Step 3: Cross multiply
    598.40x = 824.96 × 576
  4. Step 4: Simplify right side
    598.40x = 475,176.96
  5. Step 5: Solve for x
    x = 475,176.96/598.40
  6. Step 6: Final answer
    x = 794.08

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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.