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Finding the Fourth Proportional to 621.16, 931.66 and 312.96

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Solution

The fourth proportional to 621.16, 931.66 and 312.96 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.16 : 931.66 = 312.96 : x
  2. Step 2: Convert to fraction form
    621.16/931.66 = 312.96/x
  3. Step 3: Cross multiply
    621.16x = 931.66 × 312.96
  4. Step 4: Simplify right side
    621.16x = 291,572.31
  5. Step 5: Solve for x
    x = 291,572.31/621.16
  6. Step 6: Final answer
    x = 469.40

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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.