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Finding the Fourth Proportional to 930.16, 1,395.12 and 313.84

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Solution

The fourth proportional to 930.16, 1,395.12 and 313.84 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.16 : 1,395.12 = 313.84 : x
  2. Step 2: Convert to fraction form
    930.16/1,395.12 = 313.84/x
  3. Step 3: Cross multiply
    930.16x = 1,395.12 × 313.84
  4. Step 4: Simplify right side
    930.16x = 437,844.46
  5. Step 5: Solve for x
    x = 437,844.46/930.16
  6. Step 6: Final answer
    x = 470.72

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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.