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Finding the Fourth Proportional to 585.47, 877.59 and 325.40

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Solution

The fourth proportional to 585.47, 877.59 and 325.40 is: 487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 877.59 = 325.40 : x
  2. Step 2: Convert to fraction form
    585.47/877.59 = 325.40/x
  3. Step 3: Cross multiply
    585.47x = 877.59 × 325.40
  4. Step 4: Simplify right side
    585.47x = 285,563.40
  5. Step 5: Solve for x
    x = 285,563.40/585.47
  6. Step 6: Final answer
    x = 487.75

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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.