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Finding the Fourth Proportional to 579.56, 869.26 and 287.08

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Solution

The fourth proportional to 579.56, 869.26 and 287.08 is: 430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.56 : 869.26 = 287.08 : x
  2. Step 2: Convert to fraction form
    579.56/869.26 = 287.08/x
  3. Step 3: Cross multiply
    579.56x = 869.26 × 287.08
  4. Step 4: Simplify right side
    579.56x = 249,547.16
  5. Step 5: Solve for x
    x = 249,547.16/579.56
  6. Step 6: Final answer
    x = 430.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.