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Finding the Fourth Proportional to 497.49, 686.86 and 466.51

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Solution

The fourth proportional to 497.49, 686.86 and 466.51 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.49 : 686.86 = 466.51 : x
  2. Step 2: Convert to fraction form
    497.49/686.86 = 466.51/x
  3. Step 3: Cross multiply
    497.49x = 686.86 × 466.51
  4. Step 4: Simplify right side
    497.49x = 320,424.18
  5. Step 5: Solve for x
    x = 320,424.18/497.49
  6. Step 6: Final answer
    x = 644.08

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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.