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Finding the Fourth Proportional to 312.75, 469.53 and 291.36

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Solution

The fourth proportional to 312.75, 469.53 and 291.36 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 469.53 = 291.36 : x
  2. Step 2: Convert to fraction form
    312.75/469.53 = 291.36/x
  3. Step 3: Cross multiply
    312.75x = 469.53 × 291.36
  4. Step 4: Simplify right side
    312.75x = 136,802.26
  5. Step 5: Solve for x
    x = 136,802.26/312.75
  6. Step 6: Final answer
    x = 437.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.