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Finding the Fourth Proportional to 584.19, 875.88 and 352.53

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Solution

The fourth proportional to 584.19, 875.88 and 352.53 is: 528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 875.88 = 352.53 : x
  2. Step 2: Convert to fraction form
    584.19/875.88 = 352.53/x
  3. Step 3: Cross multiply
    584.19x = 875.88 × 352.53
  4. Step 4: Simplify right side
    584.19x = 308,773.98
  5. Step 5: Solve for x
    x = 308,773.98/584.19
  6. Step 6: Final answer
    x = 528.55

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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.