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Finding the Fourth Proportional to 566.65, 782.01 and 317.98

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Solution

The fourth proportional to 566.65, 782.01 and 317.98 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.65 : 782.01 = 317.98 : x
  2. Step 2: Convert to fraction form
    566.65/782.01 = 317.98/x
  3. Step 3: Cross multiply
    566.65x = 782.01 × 317.98
  4. Step 4: Simplify right side
    566.65x = 248,663.32
  5. Step 5: Solve for x
    x = 248,663.32/566.65
  6. Step 6: Final answer
    x = 438.83

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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.