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Finding the Fourth Proportional to 448.81, 619.05 and 402.64

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Solution

The fourth proportional to 448.81, 619.05 and 402.64 is: 555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.81 : 619.05 = 402.64 : x
  2. Step 2: Convert to fraction form
    448.81/619.05 = 402.64/x
  3. Step 3: Cross multiply
    448.81x = 619.05 × 402.64
  4. Step 4: Simplify right side
    448.81x = 249,254.29
  5. Step 5: Solve for x
    x = 249,254.29/448.81
  6. Step 6: Final answer
    x = 555.37

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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.