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Finding the Fourth Proportional to 611.61, 916.56 and 456.30

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Solution

The fourth proportional to 611.61, 916.56 and 456.30 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.61 : 916.56 = 456.30 : x
  2. Step 2: Convert to fraction form
    611.61/916.56 = 456.30/x
  3. Step 3: Cross multiply
    611.61x = 916.56 × 456.30
  4. Step 4: Simplify right side
    611.61x = 418,226.33
  5. Step 5: Solve for x
    x = 418,226.33/611.61
  6. Step 6: Final answer
    x = 683.81

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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.