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Finding the Fourth Proportional to 582.87, 873.75 and 400.35

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Solution

The fourth proportional to 582.87, 873.75 and 400.35 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.87 : 873.75 = 400.35 : x
  2. Step 2: Convert to fraction form
    582.87/873.75 = 400.35/x
  3. Step 3: Cross multiply
    582.87x = 873.75 × 400.35
  4. Step 4: Simplify right side
    582.87x = 349,805.81
  5. Step 5: Solve for x
    x = 349,805.81/582.87
  6. Step 6: Final answer
    x = 600.14

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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.