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Finding the Fourth Proportional to 592.19, 815.42 and 467.45

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Solution

The fourth proportional to 592.19, 815.42 and 467.45 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.19 : 815.42 = 467.45 : x
  2. Step 2: Convert to fraction form
    592.19/815.42 = 467.45/x
  3. Step 3: Cross multiply
    592.19x = 815.42 × 467.45
  4. Step 4: Simplify right side
    592.19x = 381,165.17
  5. Step 5: Solve for x
    x = 381,165.17/592.19
  6. Step 6: Final answer
    x = 643.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.