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Finding the Fourth Proportional to 554.12, 764.60 and 314.83

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Solution

The fourth proportional to 554.12, 764.60 and 314.83 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.12 : 764.60 = 314.83 : x
  2. Step 2: Convert to fraction form
    554.12/764.60 = 314.83/x
  3. Step 3: Cross multiply
    554.12x = 764.60 × 314.83
  4. Step 4: Simplify right side
    554.12x = 240,715.53
  5. Step 5: Solve for x
    x = 240,715.53/554.12
  6. Step 6: Final answer
    x = 434.41

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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.