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Finding the Fourth Proportional to 534.85, 803.48 and 352.60

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Solution

The fourth proportional to 534.85, 803.48 and 352.60 is: 529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.85 : 803.48 = 352.60 : x
  2. Step 2: Convert to fraction form
    534.85/803.48 = 352.60/x
  3. Step 3: Cross multiply
    534.85x = 803.48 × 352.60
  4. Step 4: Simplify right side
    534.85x = 283,307.05
  5. Step 5: Solve for x
    x = 283,307.05/534.85
  6. Step 6: Final answer
    x = 529.69

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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.