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Finding the Fourth Proportional to 504.53, 696.14 and 305.30

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Solution

The fourth proportional to 504.53, 696.14 and 305.30 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.53 : 696.14 = 305.30 : x
  2. Step 2: Convert to fraction form
    504.53/696.14 = 305.30/x
  3. Step 3: Cross multiply
    504.53x = 696.14 × 305.30
  4. Step 4: Simplify right side
    504.53x = 212,534.05
  5. Step 5: Solve for x
    x = 212,534.05/504.53
  6. Step 6: Final answer
    x = 421.26

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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.