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Finding the Fourth Proportional to 405.14, 558.65 and 265.21

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Solution

The fourth proportional to 405.14, 558.65 and 265.21 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.14 : 558.65 = 265.21 : x
  2. Step 2: Convert to fraction form
    405.14/558.65 = 265.21/x
  3. Step 3: Cross multiply
    405.14x = 558.65 × 265.21
  4. Step 4: Simplify right side
    405.14x = 148,159.57
  5. Step 5: Solve for x
    x = 148,159.57/405.14
  6. Step 6: Final answer
    x = 365.70

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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.