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Finding the Fourth Proportional to 472.67, 705.98 and 368.84

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Solution

The fourth proportional to 472.67, 705.98 and 368.84 is: 550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.67 : 705.98 = 368.84 : x
  2. Step 2: Convert to fraction form
    472.67/705.98 = 368.84/x
  3. Step 3: Cross multiply
    472.67x = 705.98 × 368.84
  4. Step 4: Simplify right side
    472.67x = 260,388.29
  5. Step 5: Solve for x
    x = 260,388.29/472.67
  6. Step 6: Final answer
    x = 550.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.