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Finding the Fourth Proportional to 472.51, 652.08 and 297.82

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Solution

The fourth proportional to 472.51, 652.08 and 297.82 is: 411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.51 : 652.08 = 297.82 : x
  2. Step 2: Convert to fraction form
    472.51/652.08 = 297.82/x
  3. Step 3: Cross multiply
    472.51x = 652.08 × 297.82
  4. Step 4: Simplify right side
    472.51x = 194,202.47
  5. Step 5: Solve for x
    x = 194,202.47/472.51
  6. Step 6: Final answer
    x = 411.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.