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Finding the Fourth Proportional to 584.24, 875.66 and 352.98

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Solution

The fourth proportional to 584.24, 875.66 and 352.98 is: 529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 875.66 = 352.98 : x
  2. Step 2: Convert to fraction form
    584.24/875.66 = 352.98/x
  3. Step 3: Cross multiply
    584.24x = 875.66 × 352.98
  4. Step 4: Simplify right side
    584.24x = 309,088.70
  5. Step 5: Solve for x
    x = 309,088.70/584.24
  6. Step 6: Final answer
    x = 529.05

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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.