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Finding the Fourth Proportional to 582.56, 873.76 and 290.08

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Solution

The fourth proportional to 582.56, 873.76 and 290.08 is: 435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.56 : 873.76 = 290.08 : x
  2. Step 2: Convert to fraction form
    582.56/873.76 = 290.08/x
  3. Step 3: Cross multiply
    582.56x = 873.76 × 290.08
  4. Step 4: Simplify right side
    582.56x = 253,460.30
  5. Step 5: Solve for x
    x = 253,460.30/582.56
  6. Step 6: Final answer
    x = 435.08

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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.