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Finding the Fourth Proportional to 628.24, 864.70 and 503.50

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Solution

The fourth proportional to 628.24, 864.70 and 503.50 is: 693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.24 : 864.70 = 503.50 : x
  2. Step 2: Convert to fraction form
    628.24/864.70 = 503.50/x
  3. Step 3: Cross multiply
    628.24x = 864.70 × 503.50
  4. Step 4: Simplify right side
    628.24x = 435,376.45
  5. Step 5: Solve for x
    x = 435,376.45/628.24
  6. Step 6: Final answer
    x = 693.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.