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Finding the Fourth Proportional to 472.30, 707.33 and 380.77

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Solution

The fourth proportional to 472.30, 707.33 and 380.77 is: 570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.30 : 707.33 = 380.77 : x
  2. Step 2: Convert to fraction form
    472.30/707.33 = 380.77/x
  3. Step 3: Cross multiply
    472.30x = 707.33 × 380.77
  4. Step 4: Simplify right side
    472.30x = 269,329.23
  5. Step 5: Solve for x
    x = 269,329.23/472.30
  6. Step 6: Final answer
    x = 570.25

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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.