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Finding the Fourth Proportional to 538.48, 807.93 and 307.24

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Solution

The fourth proportional to 538.48, 807.93 and 307.24 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 807.93 = 307.24 : x
  2. Step 2: Convert to fraction form
    538.48/807.93 = 307.24/x
  3. Step 3: Cross multiply
    538.48x = 807.93 × 307.24
  4. Step 4: Simplify right side
    538.48x = 248,228.41
  5. Step 5: Solve for x
    x = 248,228.41/538.48
  6. Step 6: Final answer
    x = 460.98

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