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Finding the Fourth Proportional to 584.10, 875.54 and 364.38

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Solution

The fourth proportional to 584.10, 875.54 and 364.38 is: 546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 875.54 = 364.38 : x
  2. Step 2: Convert to fraction form
    584.10/875.54 = 364.38/x
  3. Step 3: Cross multiply
    584.10x = 875.54 × 364.38
  4. Step 4: Simplify right side
    584.10x = 319,027.44
  5. Step 5: Solve for x
    x = 319,027.44/584.10
  6. Step 6: Final answer
    x = 546.19

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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.