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Finding the Fourth Proportional to 405.77, 558.77 and 340.16

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Solution

The fourth proportional to 405.77, 558.77 and 340.16 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.77 : 558.77 = 340.16 : x
  2. Step 2: Convert to fraction form
    405.77/558.77 = 340.16/x
  3. Step 3: Cross multiply
    405.77x = 558.77 × 340.16
  4. Step 4: Simplify right side
    405.77x = 190,066.71
  5. Step 5: Solve for x
    x = 190,066.71/405.77
  6. Step 6: Final answer
    x = 468.42

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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.