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Finding the Fourth Proportional to 434.80, 599.72 and 260

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Solution

The fourth proportional to 434.80, 599.72 and 260 is: 358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.80 : 599.72 = 260 : x
  2. Step 2: Convert to fraction form
    434.80/599.72 = 260/x
  3. Step 3: Cross multiply
    434.80x = 599.72 × 260
  4. Step 4: Simplify right side
    434.80x = 155,927.20
  5. Step 5: Solve for x
    x = 155,927.20/434.80
  6. Step 6: Final answer
    x = 358.62

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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.