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Finding the Fourth Proportional to 405.02, 558.78 and 265.22

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Solution

The fourth proportional to 405.02, 558.78 and 265.22 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.02 : 558.78 = 265.22 : x
  2. Step 2: Convert to fraction form
    405.02/558.78 = 265.22/x
  3. Step 3: Cross multiply
    405.02x = 558.78 × 265.22
  4. Step 4: Simplify right side
    405.02x = 148,199.63
  5. Step 5: Solve for x
    x = 148,199.63/405.02
  6. Step 6: Final answer
    x = 365.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.