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Finding the Fourth Proportional to 620.65, 931.02 and 312.34

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Solution

The fourth proportional to 620.65, 931.02 and 312.34 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.65 : 931.02 = 312.34 : x
  2. Step 2: Convert to fraction form
    620.65/931.02 = 312.34/x
  3. Step 3: Cross multiply
    620.65x = 931.02 × 312.34
  4. Step 4: Simplify right side
    620.65x = 290,798.29
  5. Step 5: Solve for x
    x = 290,798.29/620.65
  6. Step 6: Final answer
    x = 468.54

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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.