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Finding the Fourth Proportional to 564.90, 780.56 and 435.04

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Solution

The fourth proportional to 564.90, 780.56 and 435.04 is: 601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 780.56 = 435.04 : x
  2. Step 2: Convert to fraction form
    564.90/780.56 = 435.04/x
  3. Step 3: Cross multiply
    564.90x = 780.56 × 435.04
  4. Step 4: Simplify right side
    564.90x = 339,574.82
  5. Step 5: Solve for x
    x = 339,574.82/564.90
  6. Step 6: Final answer
    x = 601.12

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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.