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Finding the Fourth Proportional to 346.74, 520.38 and 283.02

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Solution

The fourth proportional to 346.74, 520.38 and 283.02 is: 424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.74 : 520.38 = 283.02 : x
  2. Step 2: Convert to fraction form
    346.74/520.38 = 283.02/x
  3. Step 3: Cross multiply
    346.74x = 520.38 × 283.02
  4. Step 4: Simplify right side
    346.74x = 147,277.95
  5. Step 5: Solve for x
    x = 147,277.95/346.74
  6. Step 6: Final answer
    x = 424.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.