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Finding the Fourth Proportional to 586.99, 810.16 and 377.43

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Solution

The fourth proportional to 586.99, 810.16 and 377.43 is: 520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.99 : 810.16 = 377.43 : x
  2. Step 2: Convert to fraction form
    586.99/810.16 = 377.43/x
  3. Step 3: Cross multiply
    586.99x = 810.16 × 377.43
  4. Step 4: Simplify right side
    586.99x = 305,777.75
  5. Step 5: Solve for x
    x = 305,777.75/586.99
  6. Step 6: Final answer
    x = 520.93

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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.