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Finding the Fourth Proportional to 277.02, 412.80 and 258.80

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Solution

The fourth proportional to 277.02, 412.80 and 258.80 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 412.80 = 258.80 : x
  2. Step 2: Convert to fraction form
    277.02/412.80 = 258.80/x
  3. Step 3: Cross multiply
    277.02x = 412.80 × 258.80
  4. Step 4: Simplify right side
    277.02x = 106,829.61
  5. Step 5: Solve for x
    x = 106,829.61/277.02
  6. Step 6: Final answer
    x = 385.64

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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.