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Finding the Fourth Proportional to 923.83, 1,386.02 and 346.75

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Solution

The fourth proportional to 923.83, 1,386.02 and 346.75 is: 520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.83 : 1,386.02 = 346.75 : x
  2. Step 2: Convert to fraction form
    923.83/1,386.02 = 346.75/x
  3. Step 3: Cross multiply
    923.83x = 1,386.02 × 346.75
  4. Step 4: Simplify right side
    923.83x = 480,602.44
  5. Step 5: Solve for x
    x = 480,602.44/923.83
  6. Step 6: Final answer
    x = 520.23

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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.