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Finding the Fourth Proportional to 585.19, 875.53 and 412.15

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Solution

The fourth proportional to 585.19, 875.53 and 412.15 is: 616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.19 : 875.53 = 412.15 : x
  2. Step 2: Convert to fraction form
    585.19/875.53 = 412.15/x
  3. Step 3: Cross multiply
    585.19x = 875.53 × 412.15
  4. Step 4: Simplify right side
    585.19x = 360,849.69
  5. Step 5: Solve for x
    x = 360,849.69/585.19
  6. Step 6: Final answer
    x = 616.64

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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.