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Finding the Fourth Proportional to 700.24, 1,050.36 and 288.93

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Solution

The fourth proportional to 700.24, 1,050.36 and 288.93 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.24 : 1,050.36 = 288.93 : x
  2. Step 2: Convert to fraction form
    700.24/1,050.36 = 288.93/x
  3. Step 3: Cross multiply
    700.24x = 1,050.36 × 288.93
  4. Step 4: Simplify right side
    700.24x = 303,477.30
  5. Step 5: Solve for x
    x = 303,477.30/700.24
  6. Step 6: Final answer
    x = 433.39

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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.