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Finding the Fourth Proportional to 909.10, 1,364.06 and 476.16

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Solution

The fourth proportional to 909.10, 1,364.06 and 476.16 is: 714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.10 : 1,364.06 = 476.16 : x
  2. Step 2: Convert to fraction form
    909.10/1,364.06 = 476.16/x
  3. Step 3: Cross multiply
    909.10x = 1,364.06 × 476.16
  4. Step 4: Simplify right side
    909.10x = 649,504.21
  5. Step 5: Solve for x
    x = 649,504.21/909.10
  6. Step 6: Final answer
    x = 714.45

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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.