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Finding the Fourth Proportional to 472.45, 651.99 and 259.76

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Solution

The fourth proportional to 472.45, 651.99 and 259.76 is: 358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.45 : 651.99 = 259.76 : x
  2. Step 2: Convert to fraction form
    472.45/651.99 = 259.76/x
  3. Step 3: Cross multiply
    472.45x = 651.99 × 259.76
  4. Step 4: Simplify right side
    472.45x = 169,358.40
  5. Step 5: Solve for x
    x = 169,358.40/472.45
  6. Step 6: Final answer
    x = 358.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.