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Finding the Fourth Proportional to 592.82, 889.16 and 315.08

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Solution

The fourth proportional to 592.82, 889.16 and 315.08 is: 472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.82 : 889.16 = 315.08 : x
  2. Step 2: Convert to fraction form
    592.82/889.16 = 315.08/x
  3. Step 3: Cross multiply
    592.82x = 889.16 × 315.08
  4. Step 4: Simplify right side
    592.82x = 280,150.51
  5. Step 5: Solve for x
    x = 280,150.51/592.82
  6. Step 6: Final answer
    x = 472.58

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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.