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Finding the Fourth Proportional to 564.53, 848 and 546.08

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Solution

The fourth proportional to 564.53, 848 and 546.08 is: 820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.53 : 848 = 546.08 : x
  2. Step 2: Convert to fraction form
    564.53/848 = 546.08/x
  3. Step 3: Cross multiply
    564.53x = 848 × 546.08
  4. Step 4: Simplify right side
    564.53x = 463,075.84
  5. Step 5: Solve for x
    x = 463,075.84/564.53
  6. Step 6: Final answer
    x = 820.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.