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Finding the Fourth Proportional to 614, 921.32 and 310

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Solution

The fourth proportional to 614, 921.32 and 310 is: 465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614 : 921.32 = 310 : x
  2. Step 2: Convert to fraction form
    614/921.32 = 310/x
  3. Step 3: Cross multiply
    614x = 921.32 × 310
  4. Step 4: Simplify right side
    614x = 285,609.20
  5. Step 5: Solve for x
    x = 285,609.20/614
  6. Step 6: Final answer
    x = 465.16

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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.