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Finding the Fourth Proportional to 930.42, 1,395.83 and 314.01

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Solution

The fourth proportional to 930.42, 1,395.83 and 314.01 is: 471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,395.83 = 314.01 : x
  2. Step 2: Convert to fraction form
    930.42/1,395.83 = 314.01/x
  3. Step 3: Cross multiply
    930.42x = 1,395.83 × 314.01
  4. Step 4: Simplify right side
    930.42x = 438,305.36
  5. Step 5: Solve for x
    x = 438,305.36/930.42
  6. Step 6: Final answer
    x = 471.08

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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.