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Finding the Fourth Proportional to 585.02, 807.58 and 419.30

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Solution

The fourth proportional to 585.02, 807.58 and 419.30 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.02 : 807.58 = 419.30 : x
  2. Step 2: Convert to fraction form
    585.02/807.58 = 419.30/x
  3. Step 3: Cross multiply
    585.02x = 807.58 × 419.30
  4. Step 4: Simplify right side
    585.02x = 338,618.29
  5. Step 5: Solve for x
    x = 338,618.29/585.02
  6. Step 6: Final answer
    x = 578.81

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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.