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Finding the Fourth Proportional to 433.84, 598.47 and 293.77

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Solution

The fourth proportional to 433.84, 598.47 and 293.77 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.84 : 598.47 = 293.77 : x
  2. Step 2: Convert to fraction form
    433.84/598.47 = 293.77/x
  3. Step 3: Cross multiply
    433.84x = 598.47 × 293.77
  4. Step 4: Simplify right side
    433.84x = 175,812.53
  5. Step 5: Solve for x
    x = 175,812.53/433.84
  6. Step 6: Final answer
    x = 405.25

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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.