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Finding the Fourth Proportional to 566.06, 846.74 and 531.50

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Solution

The fourth proportional to 566.06, 846.74 and 531.50 is: 795.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 846.74 = 531.50 : x
  2. Step 2: Convert to fraction form
    566.06/846.74 = 531.50/x
  3. Step 3: Cross multiply
    566.06x = 846.74 × 531.50
  4. Step 4: Simplify right side
    566.06x = 450,042.31
  5. Step 5: Solve for x
    x = 450,042.31/566.06
  6. Step 6: Final answer
    x = 795.04

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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.