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Finding the Fourth Proportional to 554.65, 830.90 and 438.93

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Solution

The fourth proportional to 554.65, 830.90 and 438.93 is: 657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.65 : 830.90 = 438.93 : x
  2. Step 2: Convert to fraction form
    554.65/830.90 = 438.93/x
  3. Step 3: Cross multiply
    554.65x = 830.90 × 438.93
  4. Step 4: Simplify right side
    554.65x = 364,708.03
  5. Step 5: Solve for x
    x = 364,708.03/554.65
  6. Step 6: Final answer
    x = 657.55

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