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Finding the Fourth Proportional to 620.74, 931.72 and 473.12

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Solution

The fourth proportional to 620.74, 931.72 and 473.12 is: 710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.74 : 931.72 = 473.12 : x
  2. Step 2: Convert to fraction form
    620.74/931.72 = 473.12/x
  3. Step 3: Cross multiply
    620.74x = 931.72 × 473.12
  4. Step 4: Simplify right side
    620.74x = 440,809.53
  5. Step 5: Solve for x
    x = 440,809.53/620.74
  6. Step 6: Final answer
    x = 710.14

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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.