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Finding the Fourth Proportional to 433.60, 598.14 and 293.76

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Solution

The fourth proportional to 433.60, 598.14 and 293.76 is: 405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 598.14 = 293.76 : x
  2. Step 2: Convert to fraction form
    433.60/598.14 = 293.76/x
  3. Step 3: Cross multiply
    433.60x = 598.14 × 293.76
  4. Step 4: Simplify right side
    433.60x = 175,710.00
  5. Step 5: Solve for x
    x = 175,710.00/433.60
  6. Step 6: Final answer
    x = 405.24

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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.