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Finding the Fourth Proportional to 472.93, 709.60 and 438.10

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Solution

The fourth proportional to 472.93, 709.60 and 438.10 is: 657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.93 : 709.60 = 438.10 : x
  2. Step 2: Convert to fraction form
    472.93/709.60 = 438.10/x
  3. Step 3: Cross multiply
    472.93x = 709.60 × 438.10
  4. Step 4: Simplify right side
    472.93x = 310,875.76
  5. Step 5: Solve for x
    x = 310,875.76/472.93
  6. Step 6: Final answer
    x = 657.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.