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Finding the Fourth Proportional to 374.53, 562.08 and 259.77

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Solution

The fourth proportional to 374.53, 562.08 and 259.77 is: 389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.53 : 562.08 = 259.77 : x
  2. Step 2: Convert to fraction form
    374.53/562.08 = 259.77/x
  3. Step 3: Cross multiply
    374.53x = 562.08 × 259.77
  4. Step 4: Simplify right side
    374.53x = 146,011.52
  5. Step 5: Solve for x
    x = 146,011.52/374.53
  6. Step 6: Final answer
    x = 389.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.