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Finding the Fourth Proportional to 434.02, 598.95 and 259.33

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Solution

The fourth proportional to 434.02, 598.95 and 259.33 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.02 : 598.95 = 259.33 : x
  2. Step 2: Convert to fraction form
    434.02/598.95 = 259.33/x
  3. Step 3: Cross multiply
    434.02x = 598.95 × 259.33
  4. Step 4: Simplify right side
    434.02x = 155,325.70
  5. Step 5: Solve for x
    x = 155,325.70/434.02
  6. Step 6: Final answer
    x = 357.88

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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.