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Finding the Fourth Proportional to 429.05, 592.00 and 260.98

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Solution

The fourth proportional to 429.05, 592.00 and 260.98 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 592.00 = 260.98 : x
  2. Step 2: Convert to fraction form
    429.05/592.00 = 260.98/x
  3. Step 3: Cross multiply
    429.05x = 592.00 × 260.98
  4. Step 4: Simplify right side
    429.05x = 154,498.03
  5. Step 5: Solve for x
    x = 154,498.03/429.05
  6. Step 6: Final answer
    x = 360.09

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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.