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Finding the Fourth Proportional to 472.02, 651.98 and 362.83

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Solution

The fourth proportional to 472.02, 651.98 and 362.83 is: 501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 651.98 = 362.83 : x
  2. Step 2: Convert to fraction form
    472.02/651.98 = 362.83/x
  3. Step 3: Cross multiply
    472.02x = 651.98 × 362.83
  4. Step 4: Simplify right side
    472.02x = 236,554.64
  5. Step 5: Solve for x
    x = 236,554.64/472.02
  6. Step 6: Final answer
    x = 501.15

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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.