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Finding the Fourth Proportional to 623.40, 935.40 and 477.10

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Solution

The fourth proportional to 623.40, 935.40 and 477.10 is: 715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 935.40 = 477.10 : x
  2. Step 2: Convert to fraction form
    623.40/935.40 = 477.10/x
  3. Step 3: Cross multiply
    623.40x = 935.40 × 477.10
  4. Step 4: Simplify right side
    623.40x = 446,279.34
  5. Step 5: Solve for x
    x = 446,279.34/623.40
  6. Step 6: Final answer
    x = 715.88

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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.