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Finding the Fourth Proportional to 720.23, 994.07 and 458.20

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Solution

The fourth proportional to 720.23, 994.07 and 458.20 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.23 : 994.07 = 458.20 : x
  2. Step 2: Convert to fraction form
    720.23/994.07 = 458.20/x
  3. Step 3: Cross multiply
    720.23x = 994.07 × 458.20
  4. Step 4: Simplify right side
    720.23x = 455,475.61
  5. Step 5: Solve for x
    x = 455,475.61/720.23
  6. Step 6: Final answer
    x = 632.40

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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.