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Finding the Fourth Proportional to 566.58, 850.08 and 292.50

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Solution

The fourth proportional to 566.58, 850.08 and 292.50 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.58 : 850.08 = 292.50 : x
  2. Step 2: Convert to fraction form
    566.58/850.08 = 292.50/x
  3. Step 3: Cross multiply
    566.58x = 850.08 × 292.50
  4. Step 4: Simplify right side
    566.58x = 248,644.15
  5. Step 5: Solve for x
    x = 248,644.15/566.58
  6. Step 6: Final answer
    x = 438.85

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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.