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Finding the Fourth Proportional to 586.10, 809.13 and 453.05

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Solution

The fourth proportional to 586.10, 809.13 and 453.05 is: 625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.10 : 809.13 = 453.05 : x
  2. Step 2: Convert to fraction form
    586.10/809.13 = 453.05/x
  3. Step 3: Cross multiply
    586.10x = 809.13 × 453.05
  4. Step 4: Simplify right side
    586.10x = 366,572.30
  5. Step 5: Solve for x
    x = 366,572.30/586.10
  6. Step 6: Final answer
    x = 625.45

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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.