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Finding the Fourth Proportional to 258.04, 384.29 and 245.56

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Solution

The fourth proportional to 258.04, 384.29 and 245.56 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 384.29 = 245.56 : x
  2. Step 2: Convert to fraction form
    258.04/384.29 = 245.56/x
  3. Step 3: Cross multiply
    258.04x = 384.29 × 245.56
  4. Step 4: Simplify right side
    258.04x = 94,366.25
  5. Step 5: Solve for x
    x = 94,366.25/258.04
  6. Step 6: Final answer
    x = 365.70

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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.