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Finding the Fourth Proportional to 972.42, 1,458.70 and 305.26

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Solution

The fourth proportional to 972.42, 1,458.70 and 305.26 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.42 : 1,458.70 = 305.26 : x
  2. Step 2: Convert to fraction form
    972.42/1,458.70 = 305.26/x
  3. Step 3: Cross multiply
    972.42x = 1,458.70 × 305.26
  4. Step 4: Simplify right side
    972.42x = 445,282.76
  5. Step 5: Solve for x
    x = 445,282.76/972.42
  6. Step 6: Final answer
    x = 457.91

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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.