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Finding the Fourth Proportional to 582.74, 805.19 and 416.64

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Solution

The fourth proportional to 582.74, 805.19 and 416.64 is: 575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.74 : 805.19 = 416.64 : x
  2. Step 2: Convert to fraction form
    582.74/805.19 = 416.64/x
  3. Step 3: Cross multiply
    582.74x = 805.19 × 416.64
  4. Step 4: Simplify right side
    582.74x = 335,477.64
  5. Step 5: Solve for x
    x = 335,477.64/582.74
  6. Step 6: Final answer
    x = 575.69

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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.