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Finding the Fourth Proportional to 477.32, 658.80 and 302.63

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Solution

The fourth proportional to 477.32, 658.80 and 302.63 is: 417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 658.80 = 302.63 : x
  2. Step 2: Convert to fraction form
    477.32/658.80 = 302.63/x
  3. Step 3: Cross multiply
    477.32x = 658.80 × 302.63
  4. Step 4: Simplify right side
    477.32x = 199,369.35
  5. Step 5: Solve for x
    x = 199,369.35/477.32
  6. Step 6: Final answer
    x = 417.69

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