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Finding the Fourth Proportional to 434.50, 599.64 and 259.84

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Solution

The fourth proportional to 434.50, 599.64 and 259.84 is: 358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 599.64 = 259.84 : x
  2. Step 2: Convert to fraction form
    434.50/599.64 = 259.84/x
  3. Step 3: Cross multiply
    434.50x = 599.64 × 259.84
  4. Step 4: Simplify right side
    434.50x = 155,810.46
  5. Step 5: Solve for x
    x = 155,810.46/434.50
  6. Step 6: Final answer
    x = 358.60

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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.