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Finding the Fourth Proportional to 457.40, 630.78 and 383.60

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Solution

The fourth proportional to 457.40, 630.78 and 383.60 is: 529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 630.78 = 383.60 : x
  2. Step 2: Convert to fraction form
    457.40/630.78 = 383.60/x
  3. Step 3: Cross multiply
    457.40x = 630.78 × 383.60
  4. Step 4: Simplify right side
    457.40x = 241,967.21
  5. Step 5: Solve for x
    x = 241,967.21/457.40
  6. Step 6: Final answer
    x = 529.01

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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.