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Finding the Fourth Proportional to 569.04, 784.48 and 464

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Solution

The fourth proportional to 569.04, 784.48 and 464 is: 639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.04 : 784.48 = 464 : x
  2. Step 2: Convert to fraction form
    569.04/784.48 = 464/x
  3. Step 3: Cross multiply
    569.04x = 784.48 × 464
  4. Step 4: Simplify right side
    569.04x = 363,998.72
  5. Step 5: Solve for x
    x = 363,998.72/569.04
  6. Step 6: Final answer
    x = 639.67

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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.