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Finding the Fourth Proportional to 346.40, 474.48 and 345.44

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Solution

The fourth proportional to 346.40, 474.48 and 345.44 is: 473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 474.48 = 345.44 : x
  2. Step 2: Convert to fraction form
    346.40/474.48 = 345.44/x
  3. Step 3: Cross multiply
    346.40x = 474.48 × 345.44
  4. Step 4: Simplify right side
    346.40x = 163,904.37
  5. Step 5: Solve for x
    x = 163,904.37/346.40
  6. Step 6: Final answer
    x = 473.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.