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Finding the Fourth Proportional to 581.60, 870.59 and 419.24

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Solution

The fourth proportional to 581.60, 870.59 and 419.24 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 870.59 = 419.24 : x
  2. Step 2: Convert to fraction form
    581.60/870.59 = 419.24/x
  3. Step 3: Cross multiply
    581.60x = 870.59 × 419.24
  4. Step 4: Simplify right side
    581.60x = 364,979.70
  5. Step 5: Solve for x
    x = 364,979.70/581.60
  6. Step 6: Final answer
    x = 627.55

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Why These Related Problems?

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