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Finding the Fourth Proportional to 586.96, 810 and 533.92

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Solution

The fourth proportional to 586.96, 810 and 533.92 is: 736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.96 : 810 = 533.92 : x
  2. Step 2: Convert to fraction form
    586.96/810 = 533.92/x
  3. Step 3: Cross multiply
    586.96x = 810 × 533.92
  4. Step 4: Simplify right side
    586.96x = 432,475.20
  5. Step 5: Solve for x
    x = 432,475.20/586.96
  6. Step 6: Final answer
    x = 736.81

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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.