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Finding the Fourth Proportional to 437.58, 657.72 and 415.98

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Solution

The fourth proportional to 437.58, 657.72 and 415.98 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.58 : 657.72 = 415.98 : x
  2. Step 2: Convert to fraction form
    437.58/657.72 = 415.98/x
  3. Step 3: Cross multiply
    437.58x = 657.72 × 415.98
  4. Step 4: Simplify right side
    437.58x = 273,598.37
  5. Step 5: Solve for x
    x = 273,598.37/437.58
  6. Step 6: Final answer
    x = 625.25

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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.