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Finding the Fourth Proportional to 433.84, 598.53 and 259.24

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Solution

The fourth proportional to 433.84, 598.53 and 259.24 is: 357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.84 : 598.53 = 259.24 : x
  2. Step 2: Convert to fraction form
    433.84/598.53 = 259.24/x
  3. Step 3: Cross multiply
    433.84x = 598.53 × 259.24
  4. Step 4: Simplify right side
    433.84x = 155,162.92
  5. Step 5: Solve for x
    x = 155,162.92/433.84
  6. Step 6: Final answer
    x = 357.65

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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.