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Finding the Fourth Proportional to 586.98, 804.06 and 580.50

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Solution

The fourth proportional to 586.98, 804.06 and 580.50 is: 795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 804.06 = 580.50 : x
  2. Step 2: Convert to fraction form
    586.98/804.06 = 580.50/x
  3. Step 3: Cross multiply
    586.98x = 804.06 × 580.50
  4. Step 4: Simplify right side
    586.98x = 466,756.83
  5. Step 5: Solve for x
    x = 466,756.83/586.98
  6. Step 6: Final answer
    x = 795.18

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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.