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Finding the Fourth Proportional to 407.58, 562.19 and 320.10

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Solution

The fourth proportional to 407.58, 562.19 and 320.10 is: 441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.58 : 562.19 = 320.10 : x
  2. Step 2: Convert to fraction form
    407.58/562.19 = 320.10/x
  3. Step 3: Cross multiply
    407.58x = 562.19 × 320.10
  4. Step 4: Simplify right side
    407.58x = 179,955.42
  5. Step 5: Solve for x
    x = 179,955.42/407.58
  6. Step 6: Final answer
    x = 441.52

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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.