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Finding the Fourth Proportional to 564.64, 779.32 and 460.40

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Solution

The fourth proportional to 564.64, 779.32 and 460.40 is: 635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 779.32 = 460.40 : x
  2. Step 2: Convert to fraction form
    564.64/779.32 = 460.40/x
  3. Step 3: Cross multiply
    564.64x = 779.32 × 460.40
  4. Step 4: Simplify right side
    564.64x = 358,798.93
  5. Step 5: Solve for x
    x = 358,798.93/564.64
  6. Step 6: Final answer
    x = 635.45

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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.