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Finding the Fourth Proportional to 457.34, 631.04 and 302

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Solution

The fourth proportional to 457.34, 631.04 and 302 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.34 : 631.04 = 302 : x
  2. Step 2: Convert to fraction form
    457.34/631.04 = 302/x
  3. Step 3: Cross multiply
    457.34x = 631.04 × 302
  4. Step 4: Simplify right side
    457.34x = 190,574.08
  5. Step 5: Solve for x
    x = 190,574.08/457.34
  6. Step 6: Final answer
    x = 416.70

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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.