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Finding the Fourth Proportional to 598.89, 824.00 and 467.67

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Solution

The fourth proportional to 598.89, 824.00 and 467.67 is: 643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.89 : 824.00 = 467.67 : x
  2. Step 2: Convert to fraction form
    598.89/824.00 = 467.67/x
  3. Step 3: Cross multiply
    598.89x = 824.00 × 467.67
  4. Step 4: Simplify right side
    598.89x = 385,357.74
  5. Step 5: Solve for x
    x = 385,357.74/598.89
  6. Step 6: Final answer
    x = 643.45

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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.