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Finding the Fourth Proportional to 538.36, 807.64 and 153.64

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Solution

The fourth proportional to 538.36, 807.64 and 153.64 is: 230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.36 : 807.64 = 153.64 : x
  2. Step 2: Convert to fraction form
    538.36/807.64 = 153.64/x
  3. Step 3: Cross multiply
    538.36x = 807.64 × 153.64
  4. Step 4: Simplify right side
    538.36x = 124,085.81
  5. Step 5: Solve for x
    x = 124,085.81/538.36
  6. Step 6: Final answer
    x = 230.49

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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.