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Finding the Fourth Proportional to 711.02, 980.31 and 458.51

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Solution

The fourth proportional to 711.02, 980.31 and 458.51 is: 632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.02 : 980.31 = 458.51 : x
  2. Step 2: Convert to fraction form
    711.02/980.31 = 458.51/x
  3. Step 3: Cross multiply
    711.02x = 980.31 × 458.51
  4. Step 4: Simplify right side
    711.02x = 449,477.04
  5. Step 5: Solve for x
    x = 449,477.04/711.02
  6. Step 6: Final answer
    x = 632.16

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1.5x scale

Why These Related Problems?

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