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Finding the Fourth Proportional to 407.04, 561.66 and 232.32

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Solution

The fourth proportional to 407.04, 561.66 and 232.32 is: 320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 561.66 = 232.32 : x
  2. Step 2: Convert to fraction form
    407.04/561.66 = 232.32/x
  3. Step 3: Cross multiply
    407.04x = 561.66 × 232.32
  4. Step 4: Simplify right side
    407.04x = 130,484.85
  5. Step 5: Solve for x
    x = 130,484.85/407.04
  6. Step 6: Final answer
    x = 320.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.