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Finding the Fourth Proportional to 582.89, 803.71 and 417.05

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Solution

The fourth proportional to 582.89, 803.71 and 417.05 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.89 : 803.71 = 417.05 : x
  2. Step 2: Convert to fraction form
    582.89/803.71 = 417.05/x
  3. Step 3: Cross multiply
    582.89x = 803.71 × 417.05
  4. Step 4: Simplify right side
    582.89x = 335,187.26
  5. Step 5: Solve for x
    x = 335,187.26/582.89
  6. Step 6: Final answer
    x = 575.04

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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.