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Finding the Fourth Proportional to 500.64, 690.64 and 304.08

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Solution

The fourth proportional to 500.64, 690.64 and 304.08 is: 419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 690.64 = 304.08 : x
  2. Step 2: Convert to fraction form
    500.64/690.64 = 304.08/x
  3. Step 3: Cross multiply
    500.64x = 690.64 × 304.08
  4. Step 4: Simplify right side
    500.64x = 210,009.81
  5. Step 5: Solve for x
    x = 210,009.81/500.64
  6. Step 6: Final answer
    x = 419.48

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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.