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Finding the Fourth Proportional to 603.26, 832.25 and 463.13

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Solution

The fourth proportional to 603.26, 832.25 and 463.13 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.26 : 832.25 = 463.13 : x
  2. Step 2: Convert to fraction form
    603.26/832.25 = 463.13/x
  3. Step 3: Cross multiply
    603.26x = 832.25 × 463.13
  4. Step 4: Simplify right side
    603.26x = 385,439.94
  5. Step 5: Solve for x
    x = 385,439.94/603.26
  6. Step 6: Final answer
    x = 638.93

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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.