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Finding the Fourth Proportional to 584.72, 875.40 and 557.84

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Solution

The fourth proportional to 584.72, 875.40 and 557.84 is: 835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 875.40 = 557.84 : x
  2. Step 2: Convert to fraction form
    584.72/875.40 = 557.84/x
  3. Step 3: Cross multiply
    584.72x = 875.40 × 557.84
  4. Step 4: Simplify right side
    584.72x = 488,333.14
  5. Step 5: Solve for x
    x = 488,333.14/584.72
  6. Step 6: Final answer
    x = 835.16

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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.