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Finding the Fourth Proportional to 434.32, 651.63 and 288.65

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Solution

The fourth proportional to 434.32, 651.63 and 288.65 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.32 : 651.63 = 288.65 : x
  2. Step 2: Convert to fraction form
    434.32/651.63 = 288.65/x
  3. Step 3: Cross multiply
    434.32x = 651.63 × 288.65
  4. Step 4: Simplify right side
    434.32x = 188,089.38
  5. Step 5: Solve for x
    x = 188,089.38/434.32
  6. Step 6: Final answer
    x = 433.07

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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.