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Finding the Fourth Proportional to 584.03, 875.07 and 562.50

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Solution

The fourth proportional to 584.03, 875.07 and 562.50 is: 842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.03 : 875.07 = 562.50 : x
  2. Step 2: Convert to fraction form
    584.03/875.07 = 562.50/x
  3. Step 3: Cross multiply
    584.03x = 875.07 × 562.50
  4. Step 4: Simplify right side
    584.03x = 492,226.88
  5. Step 5: Solve for x
    x = 492,226.88/584.03
  6. Step 6: Final answer
    x = 842.81

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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.