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Finding the Fourth Proportional to 740.25, 1,021.64 and 429.75

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Solution

The fourth proportional to 740.25, 1,021.64 and 429.75 is: 593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.25 : 1,021.64 = 429.75 : x
  2. Step 2: Convert to fraction form
    740.25/1,021.64 = 429.75/x
  3. Step 3: Cross multiply
    740.25x = 1,021.64 × 429.75
  4. Step 4: Simplify right side
    740.25x = 439,049.79
  5. Step 5: Solve for x
    x = 439,049.79/740.25
  6. Step 6: Final answer
    x = 593.11

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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.