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Finding the Fourth Proportional to 405.51, 559.35 and 265.64

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Solution

The fourth proportional to 405.51, 559.35 and 265.64 is: 366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.51 : 559.35 = 265.64 : x
  2. Step 2: Convert to fraction form
    405.51/559.35 = 265.64/x
  3. Step 3: Cross multiply
    405.51x = 559.35 × 265.64
  4. Step 4: Simplify right side
    405.51x = 148,582.94
  5. Step 5: Solve for x
    x = 148,582.94/405.51
  6. Step 6: Final answer
    x = 366.41

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