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Finding the Fourth Proportional to 923.42, 1,385.19 and 307.10

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Solution

The fourth proportional to 923.42, 1,385.19 and 307.10 is: 460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.42 : 1,385.19 = 307.10 : x
  2. Step 2: Convert to fraction form
    923.42/1,385.19 = 307.10/x
  3. Step 3: Cross multiply
    923.42x = 1,385.19 × 307.10
  4. Step 4: Simplify right side
    923.42x = 425,391.85
  5. Step 5: Solve for x
    x = 425,391.85/923.42
  6. Step 6: Final answer
    x = 460.67

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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.