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Finding the Fourth Proportional to 598.34, 825.74 and 346.30

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Solution

The fourth proportional to 598.34, 825.74 and 346.30 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.34 : 825.74 = 346.30 : x
  2. Step 2: Convert to fraction form
    598.34/825.74 = 346.30/x
  3. Step 3: Cross multiply
    598.34x = 825.74 × 346.30
  4. Step 4: Simplify right side
    598.34x = 285,953.76
  5. Step 5: Solve for x
    x = 285,953.76/598.34
  6. Step 6: Final answer
    x = 477.91

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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.