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Finding the Fourth Proportional to 477.90, 717.52 and 305.64

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Solution

The fourth proportional to 477.90, 717.52 and 305.64 is: 458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 717.52 = 305.64 : x
  2. Step 2: Convert to fraction form
    477.90/717.52 = 305.64/x
  3. Step 3: Cross multiply
    477.90x = 717.52 × 305.64
  4. Step 4: Simplify right side
    477.90x = 219,302.81
  5. Step 5: Solve for x
    x = 219,302.81/477.90
  6. Step 6: Final answer
    x = 458.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.