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Finding the Fourth Proportional to 592.63, 816.87 and 468.07

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Solution

The fourth proportional to 592.63, 816.87 and 468.07 is: 645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 816.87 = 468.07 : x
  2. Step 2: Convert to fraction form
    592.63/816.87 = 468.07/x
  3. Step 3: Cross multiply
    592.63x = 816.87 × 468.07
  4. Step 4: Simplify right side
    592.63x = 382,352.34
  5. Step 5: Solve for x
    x = 382,352.34/592.63
  6. Step 6: Final answer
    x = 645.18

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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.