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Finding the Fourth Proportional to 621.72, 931.14 and 313.08

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Solution

The fourth proportional to 621.72, 931.14 and 313.08 is: 468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.72 : 931.14 = 313.08 : x
  2. Step 2: Convert to fraction form
    621.72/931.14 = 313.08/x
  3. Step 3: Cross multiply
    621.72x = 931.14 × 313.08
  4. Step 4: Simplify right side
    621.72x = 291,521.31
  5. Step 5: Solve for x
    x = 291,521.31/621.72
  6. Step 6: Final answer
    x = 468.89

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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.