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Finding the Fourth Proportional to 405.47, 559.31 and 317.52

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Solution

The fourth proportional to 405.47, 559.31 and 317.52 is: 437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.47 : 559.31 = 317.52 : x
  2. Step 2: Convert to fraction form
    405.47/559.31 = 317.52/x
  3. Step 3: Cross multiply
    405.47x = 559.31 × 317.52
  4. Step 4: Simplify right side
    405.47x = 177,590.52
  5. Step 5: Solve for x
    x = 177,590.52/405.47
  6. Step 6: Final answer
    x = 437.98

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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.