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Finding the Fourth Proportional to 585.05, 807.07 and 435.83

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Solution

The fourth proportional to 585.05, 807.07 and 435.83 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 807.07 = 435.83 : x
  2. Step 2: Convert to fraction form
    585.05/807.07 = 435.83/x
  3. Step 3: Cross multiply
    585.05x = 807.07 × 435.83
  4. Step 4: Simplify right side
    585.05x = 351,743.14
  5. Step 5: Solve for x
    x = 351,743.14/585.05
  6. Step 6: Final answer
    x = 601.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.