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Finding the Fourth Proportional to 497.53, 686.55 and 322.75

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Solution

The fourth proportional to 497.53, 686.55 and 322.75 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 686.55 = 322.75 : x
  2. Step 2: Convert to fraction form
    497.53/686.55 = 322.75/x
  3. Step 3: Cross multiply
    497.53x = 686.55 × 322.75
  4. Step 4: Simplify right side
    497.53x = 221,584.01
  5. Step 5: Solve for x
    x = 221,584.01/497.53
  6. Step 6: Final answer
    x = 445.37

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1.5x scale

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.