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Finding the Fourth Proportional to 585.44, 875.64 and 341.36

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Solution

The fourth proportional to 585.44, 875.64 and 341.36 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.44 : 875.64 = 341.36 : x
  2. Step 2: Convert to fraction form
    585.44/875.64 = 341.36/x
  3. Step 3: Cross multiply
    585.44x = 875.64 × 341.36
  4. Step 4: Simplify right side
    585.44x = 298,908.47
  5. Step 5: Solve for x
    x = 298,908.47/585.44
  6. Step 6: Final answer
    x = 510.57

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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.