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Finding the Fourth Proportional to 586.08, 804.06 and 571.68

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Solution

The fourth proportional to 586.08, 804.06 and 571.68 is: 784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 804.06 = 571.68 : x
  2. Step 2: Convert to fraction form
    586.08/804.06 = 571.68/x
  3. Step 3: Cross multiply
    586.08x = 804.06 × 571.68
  4. Step 4: Simplify right side
    586.08x = 459,665.02
  5. Step 5: Solve for x
    x = 459,665.02/586.08
  6. Step 6: Final answer
    x = 784.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.