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Finding the Fourth Proportional to 482.15, 665.48 and 466.77

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Solution

The fourth proportional to 482.15, 665.48 and 466.77 is: 644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 665.48 = 466.77 : x
  2. Step 2: Convert to fraction form
    482.15/665.48 = 466.77/x
  3. Step 3: Cross multiply
    482.15x = 665.48 × 466.77
  4. Step 4: Simplify right side
    482.15x = 310,623.77
  5. Step 5: Solve for x
    x = 310,623.77/482.15
  6. Step 6: Final answer
    x = 644.25

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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.