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Finding the Fourth Proportional to 923.85, 1,386.00 and 274.58

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Solution

The fourth proportional to 923.85, 1,386.00 and 274.58 is: 411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,386.00 = 274.58 : x
  2. Step 2: Convert to fraction form
    923.85/1,386.00 = 274.58/x
  3. Step 3: Cross multiply
    923.85x = 1,386.00 × 274.58
  4. Step 4: Simplify right side
    923.85x = 380,566.51
  5. Step 5: Solve for x
    x = 380,566.51/923.85
  6. Step 6: Final answer
    x = 411.94

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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.