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Finding the Fourth Proportional to 477.02, 658.33 and 290.47

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Solution

The fourth proportional to 477.02, 658.33 and 290.47 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.02 : 658.33 = 290.47 : x
  2. Step 2: Convert to fraction form
    477.02/658.33 = 290.47/x
  3. Step 3: Cross multiply
    477.02x = 658.33 × 290.47
  4. Step 4: Simplify right side
    477.02x = 191,225.12
  5. Step 5: Solve for x
    x = 191,225.12/477.02
  6. Step 6: Final answer
    x = 400.87

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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.