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Finding the Fourth Proportional to 592.88, 893.51 and 535.20

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Solution

The fourth proportional to 592.88, 893.51 and 535.20 is: 806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.88 : 893.51 = 535.20 : x
  2. Step 2: Convert to fraction form
    592.88/893.51 = 535.20/x
  3. Step 3: Cross multiply
    592.88x = 893.51 × 535.20
  4. Step 4: Simplify right side
    592.88x = 478,206.55
  5. Step 5: Solve for x
    x = 478,206.55/592.88
  6. Step 6: Final answer
    x = 806.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.