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Finding the Fourth Proportional to 434.71, 599.77 and 260.02

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Solution

The fourth proportional to 434.71, 599.77 and 260.02 is: 358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.71 : 599.77 = 260.02 : x
  2. Step 2: Convert to fraction form
    434.71/599.77 = 260.02/x
  3. Step 3: Cross multiply
    434.71x = 599.77 × 260.02
  4. Step 4: Simplify right side
    434.71x = 155,947.90
  5. Step 5: Solve for x
    x = 155,947.90/434.71
  6. Step 6: Final answer
    x = 358.74

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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.