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Finding the Fourth Proportional to 515.36, 711.27 and 294.28

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Solution

The fourth proportional to 515.36, 711.27 and 294.28 is: 406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.36 : 711.27 = 294.28 : x
  2. Step 2: Convert to fraction form
    515.36/711.27 = 294.28/x
  3. Step 3: Cross multiply
    515.36x = 711.27 × 294.28
  4. Step 4: Simplify right side
    515.36x = 209,307.51
  5. Step 5: Solve for x
    x = 209,307.51/515.36
  6. Step 6: Final answer
    x = 406.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.