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Finding the Fourth Proportional to 346.76, 478.64 and 208.76

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Solution

The fourth proportional to 346.76, 478.64 and 208.76 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.76 : 478.64 = 208.76 : x
  2. Step 2: Convert to fraction form
    346.76/478.64 = 208.76/x
  3. Step 3: Cross multiply
    346.76x = 478.64 × 208.76
  4. Step 4: Simplify right side
    346.76x = 99,920.89
  5. Step 5: Solve for x
    x = 99,920.89/346.76
  6. Step 6: Final answer
    x = 288.16

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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.