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Finding the Fourth Proportional to 601.13, 902.05 and 259.13

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Solution

The fourth proportional to 601.13, 902.05 and 259.13 is: 388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.13 : 902.05 = 259.13 : x
  2. Step 2: Convert to fraction form
    601.13/902.05 = 259.13/x
  3. Step 3: Cross multiply
    601.13x = 902.05 × 259.13
  4. Step 4: Simplify right side
    601.13x = 233,743.06
  5. Step 5: Solve for x
    x = 233,743.06/601.13
  6. Step 6: Final answer
    x = 388.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.