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Finding the Fourth Proportional to 313.61, 467.84 and 291.51

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Solution

The fourth proportional to 313.61, 467.84 and 291.51 is: 434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 467.84 = 291.51 : x
  2. Step 2: Convert to fraction form
    313.61/467.84 = 291.51/x
  3. Step 3: Cross multiply
    313.61x = 467.84 × 291.51
  4. Step 4: Simplify right side
    313.61x = 136,378.58
  5. Step 5: Solve for x
    x = 136,378.58/313.61
  6. Step 6: Final answer
    x = 434.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.