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Finding the Fourth Proportional to 623.70, 933.93 and 502.20

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Solution

The fourth proportional to 623.70, 933.93 and 502.20 is: 752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 933.93 = 502.20 : x
  2. Step 2: Convert to fraction form
    623.70/933.93 = 502.20/x
  3. Step 3: Cross multiply
    623.70x = 933.93 × 502.20
  4. Step 4: Simplify right side
    623.70x = 469,019.65
  5. Step 5: Solve for x
    x = 469,019.65/623.70
  6. Step 6: Final answer
    x = 752.00

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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.