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Finding the Fourth Proportional to 945.19, 1,417.78 and 287.07

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Solution

The fourth proportional to 945.19, 1,417.78 and 287.07 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,417.78 = 287.07 : x
  2. Step 2: Convert to fraction form
    945.19/1,417.78 = 287.07/x
  3. Step 3: Cross multiply
    945.19x = 1,417.78 × 287.07
  4. Step 4: Simplify right side
    945.19x = 407,000.33
  5. Step 5: Solve for x
    x = 407,000.33/945.19
  6. Step 6: Final answer
    x = 430.60

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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.