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Finding the Fourth Proportional to 497.46, 686.64 and 322.77

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Solution

The fourth proportional to 497.46, 686.64 and 322.77 is: 445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.46 : 686.64 = 322.77 : x
  2. Step 2: Convert to fraction form
    497.46/686.64 = 322.77/x
  3. Step 3: Cross multiply
    497.46x = 686.64 × 322.77
  4. Step 4: Simplify right side
    497.46x = 221,626.79
  5. Step 5: Solve for x
    x = 221,626.79/497.46
  6. Step 6: Final answer
    x = 445.52

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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.