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Finding the Fourth Proportional to 738.84, 1,107.54 and 305.40

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Solution

The fourth proportional to 738.84, 1,107.54 and 305.40 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.84 : 1,107.54 = 305.40 : x
  2. Step 2: Convert to fraction form
    738.84/1,107.54 = 305.40/x
  3. Step 3: Cross multiply
    738.84x = 1,107.54 × 305.40
  4. Step 4: Simplify right side
    738.84x = 338,242.72
  5. Step 5: Solve for x
    x = 338,242.72/738.84
  6. Step 6: Final answer
    x = 457.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.