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Finding the Fourth Proportional to 346.10, 477.36 and 253.16

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Solution

The fourth proportional to 346.10, 477.36 and 253.16 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 477.36 = 253.16 : x
  2. Step 2: Convert to fraction form
    346.10/477.36 = 253.16/x
  3. Step 3: Cross multiply
    346.10x = 477.36 × 253.16
  4. Step 4: Simplify right side
    346.10x = 120,848.46
  5. Step 5: Solve for x
    x = 120,848.46/346.10
  6. Step 6: Final answer
    x = 349.17

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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.