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Finding the Fourth Proportional to 434.64, 599.82 and 260.07

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Solution

The fourth proportional to 434.64, 599.82 and 260.07 is: 358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.64 : 599.82 = 260.07 : x
  2. Step 2: Convert to fraction form
    434.64/599.82 = 260.07/x
  3. Step 3: Cross multiply
    434.64x = 599.82 × 260.07
  4. Step 4: Simplify right side
    434.64x = 155,995.19
  5. Step 5: Solve for x
    x = 155,995.19/434.64
  6. Step 6: Final answer
    x = 358.91

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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.