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Finding the Fourth Proportional to 558.08, 770.64 and 442.16

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Solution

The fourth proportional to 558.08, 770.64 and 442.16 is: 610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.08 : 770.64 = 442.16 : x
  2. Step 2: Convert to fraction form
    558.08/770.64 = 442.16/x
  3. Step 3: Cross multiply
    558.08x = 770.64 × 442.16
  4. Step 4: Simplify right side
    558.08x = 340,746.18
  5. Step 5: Solve for x
    x = 340,746.18/558.08
  6. Step 6: Final answer
    x = 610.57

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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.