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Finding the Fourth Proportional to 504.06, 696.59 and 431.16

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Solution

The fourth proportional to 504.06, 696.59 and 431.16 is: 595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.06 : 696.59 = 431.16 : x
  2. Step 2: Convert to fraction form
    504.06/696.59 = 431.16/x
  3. Step 3: Cross multiply
    504.06x = 696.59 × 431.16
  4. Step 4: Simplify right side
    504.06x = 300,339.59
  5. Step 5: Solve for x
    x = 300,339.59/504.06
  6. Step 6: Final answer
    x = 595.84

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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.