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Finding the Fourth Proportional to 582.94, 874.71 and 290.47

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Solution

The fourth proportional to 582.94, 874.71 and 290.47 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 874.71 = 290.47 : x
  2. Step 2: Convert to fraction form
    582.94/874.71 = 290.47/x
  3. Step 3: Cross multiply
    582.94x = 874.71 × 290.47
  4. Step 4: Simplify right side
    582.94x = 254,077.01
  5. Step 5: Solve for x
    x = 254,077.01/582.94
  6. Step 6: Final answer
    x = 435.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.