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Finding the Fourth Proportional to 592.47, 816.89 and 417.51

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Solution

The fourth proportional to 592.47, 816.89 and 417.51 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.47 : 816.89 = 417.51 : x
  2. Step 2: Convert to fraction form
    592.47/816.89 = 417.51/x
  3. Step 3: Cross multiply
    592.47x = 816.89 × 417.51
  4. Step 4: Simplify right side
    592.47x = 341,057.66
  5. Step 5: Solve for x
    x = 341,057.66/592.47
  6. Step 6: Final answer
    x = 575.65

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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.