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Finding the Fourth Proportional to 347.58, 479.51 and 209.50

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Solution

The fourth proportional to 347.58, 479.51 and 209.50 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.58 : 479.51 = 209.50 : x
  2. Step 2: Convert to fraction form
    347.58/479.51 = 209.50/x
  3. Step 3: Cross multiply
    347.58x = 479.51 × 209.50
  4. Step 4: Simplify right side
    347.58x = 100,457.35
  5. Step 5: Solve for x
    x = 100,457.35/347.58
  6. Step 6: Final answer
    x = 289.02

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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.