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Finding the Fourth Proportional to 918.99, 1,378.53 and 302.76

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Solution

The fourth proportional to 918.99, 1,378.53 and 302.76 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.99 : 1,378.53 = 302.76 : x
  2. Step 2: Convert to fraction form
    918.99/1,378.53 = 302.76/x
  3. Step 3: Cross multiply
    918.99x = 1,378.53 × 302.76
  4. Step 4: Simplify right side
    918.99x = 417,363.74
  5. Step 5: Solve for x
    x = 417,363.74/918.99
  6. Step 6: Final answer
    x = 454.15

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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.