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Finding the Fourth Proportional to 582.94, 803.01 and 472.11

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Solution

The fourth proportional to 582.94, 803.01 and 472.11 is: 650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 803.01 = 472.11 : x
  2. Step 2: Convert to fraction form
    582.94/803.01 = 472.11/x
  3. Step 3: Cross multiply
    582.94x = 803.01 × 472.11
  4. Step 4: Simplify right side
    582.94x = 379,109.05
  5. Step 5: Solve for x
    x = 379,109.05/582.94
  6. Step 6: Final answer
    x = 650.34

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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.