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Finding the Fourth Proportional to 904.95, 1,357.64 and 288.69

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Solution

The fourth proportional to 904.95, 1,357.64 and 288.69 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.95 : 1,357.64 = 288.69 : x
  2. Step 2: Convert to fraction form
    904.95/1,357.64 = 288.69/x
  3. Step 3: Cross multiply
    904.95x = 1,357.64 × 288.69
  4. Step 4: Simplify right side
    904.95x = 391,935.65
  5. Step 5: Solve for x
    x = 391,935.65/904.95
  6. Step 6: Final answer
    x = 433.10

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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.