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Finding the Fourth Proportional to 347.90, 524.24 and 288.36

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Solution

The fourth proportional to 347.90, 524.24 and 288.36 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 524.24 = 288.36 : x
  2. Step 2: Convert to fraction form
    347.90/524.24 = 288.36/x
  3. Step 3: Cross multiply
    347.90x = 524.24 × 288.36
  4. Step 4: Simplify right side
    347.90x = 151,169.85
  5. Step 5: Solve for x
    x = 151,169.85/347.90
  6. Step 6: Final answer
    x = 434.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.