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Finding the Fourth Proportional to 405.60, 607.77 and 261.03

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Solution

The fourth proportional to 405.60, 607.77 and 261.03 is: 391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 607.77 = 261.03 : x
  2. Step 2: Convert to fraction form
    405.60/607.77 = 261.03/x
  3. Step 3: Cross multiply
    405.60x = 607.77 × 261.03
  4. Step 4: Simplify right side
    405.60x = 158,646.20
  5. Step 5: Solve for x
    x = 158,646.20/405.60
  6. Step 6: Final answer
    x = 391.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.