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Finding the Fourth Proportional to 346.31, 477.40 and 253.16

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Solution

The fourth proportional to 346.31, 477.40 and 253.16 is: 348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 477.40 = 253.16 : x
  2. Step 2: Convert to fraction form
    346.31/477.40 = 253.16/x
  3. Step 3: Cross multiply
    346.31x = 477.40 × 253.16
  4. Step 4: Simplify right side
    346.31x = 120,858.58
  5. Step 5: Solve for x
    x = 120,858.58/346.31
  6. Step 6: Final answer
    x = 348.99

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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.