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Finding the Fourth Proportional to 503.84, 756.95 and 321.59

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Solution

The fourth proportional to 503.84, 756.95 and 321.59 is: 483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.84 : 756.95 = 321.59 : x
  2. Step 2: Convert to fraction form
    503.84/756.95 = 321.59/x
  3. Step 3: Cross multiply
    503.84x = 756.95 × 321.59
  4. Step 4: Simplify right side
    503.84x = 243,424.57
  5. Step 5: Solve for x
    x = 243,424.57/503.84
  6. Step 6: Final answer
    x = 483.14

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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.