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Finding the Fourth Proportional to 472.88, 709.34 and 290.16

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Solution

The fourth proportional to 472.88, 709.34 and 290.16 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.88 : 709.34 = 290.16 : x
  2. Step 2: Convert to fraction form
    472.88/709.34 = 290.16/x
  3. Step 3: Cross multiply
    472.88x = 709.34 × 290.16
  4. Step 4: Simplify right side
    472.88x = 205,822.09
  5. Step 5: Solve for x
    x = 205,822.09/472.88
  6. Step 6: Final answer
    x = 435.25

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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.