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Finding the Fourth Proportional to 469.58, 648 and 259.74

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Solution

The fourth proportional to 469.58, 648 and 259.74 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.58 : 648 = 259.74 : x
  2. Step 2: Convert to fraction form
    469.58/648 = 259.74/x
  3. Step 3: Cross multiply
    469.58x = 648 × 259.74
  4. Step 4: Simplify right side
    469.58x = 168,311.52
  5. Step 5: Solve for x
    x = 168,311.52/469.58
  6. Step 6: Final answer
    x = 358.43

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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.