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Finding the Fourth Proportional to 346.02, 477.75 and 284.58

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Solution

The fourth proportional to 346.02, 477.75 and 284.58 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 477.75 = 284.58 : x
  2. Step 2: Convert to fraction form
    346.02/477.75 = 284.58/x
  3. Step 3: Cross multiply
    346.02x = 477.75 × 284.58
  4. Step 4: Simplify right side
    346.02x = 135,958.10
  5. Step 5: Solve for x
    x = 135,958.10/346.02
  6. Step 6: Final answer
    x = 392.92

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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.