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Finding the Fourth Proportional to 584.04, 875.58 and 462.84

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Solution

The fourth proportional to 584.04, 875.58 and 462.84 is: 693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.04 : 875.58 = 462.84 : x
  2. Step 2: Convert to fraction form
    584.04/875.58 = 462.84/x
  3. Step 3: Cross multiply
    584.04x = 875.58 × 462.84
  4. Step 4: Simplify right side
    584.04x = 405,253.45
  5. Step 5: Solve for x
    x = 405,253.45/584.04
  6. Step 6: Final answer
    x = 693.88

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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.