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Finding the Fourth Proportional to 623.01, 934.56 and 298.65

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Solution

The fourth proportional to 623.01, 934.56 and 298.65 is: 448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.01 : 934.56 = 298.65 : x
  2. Step 2: Convert to fraction form
    623.01/934.56 = 298.65/x
  3. Step 3: Cross multiply
    623.01x = 934.56 × 298.65
  4. Step 4: Simplify right side
    623.01x = 279,106.34
  5. Step 5: Solve for x
    x = 279,106.34/623.01
  6. Step 6: Final answer
    x = 448.00

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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.