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Finding the Fourth Proportional to 623.90, 935.85 and 580.16

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Solution

The fourth proportional to 623.90, 935.85 and 580.16 is: 870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.90 : 935.85 = 580.16 : x
  2. Step 2: Convert to fraction form
    623.90/935.85 = 580.16/x
  3. Step 3: Cross multiply
    623.90x = 935.85 × 580.16
  4. Step 4: Simplify right side
    623.90x = 542,938.06
  5. Step 5: Solve for x
    x = 542,938.06/623.90
  6. Step 6: Final answer
    x = 870.24

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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.