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Finding the Fourth Proportional to 497.66, 741.61 and 480.23

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Solution

The fourth proportional to 497.66, 741.61 and 480.23 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 741.61 = 480.23 : x
  2. Step 2: Convert to fraction form
    497.66/741.61 = 480.23/x
  3. Step 3: Cross multiply
    497.66x = 741.61 × 480.23
  4. Step 4: Simplify right side
    497.66x = 356,143.37
  5. Step 5: Solve for x
    x = 356,143.37/497.66
  6. Step 6: Final answer
    x = 715.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.