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Finding the Fourth Proportional to 594.48, 885.28 and 559.09

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Solution

The fourth proportional to 594.48, 885.28 and 559.09 is: 832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.48 : 885.28 = 559.09 : x
  2. Step 2: Convert to fraction form
    594.48/885.28 = 559.09/x
  3. Step 3: Cross multiply
    594.48x = 885.28 × 559.09
  4. Step 4: Simplify right side
    594.48x = 494,950.71
  5. Step 5: Solve for x
    x = 494,950.71/594.48
  6. Step 6: Final answer
    x = 832.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.