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Finding the Fourth Proportional to 586.55, 809.13 and 437.33

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Solution

The fourth proportional to 586.55, 809.13 and 437.33 is: 603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.55 : 809.13 = 437.33 : x
  2. Step 2: Convert to fraction form
    586.55/809.13 = 437.33/x
  3. Step 3: Cross multiply
    586.55x = 809.13 × 437.33
  4. Step 4: Simplify right side
    586.55x = 353,856.82
  5. Step 5: Solve for x
    x = 353,856.82/586.55
  6. Step 6: Final answer
    x = 603.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.