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Finding the Fourth Proportional to 627.18, 942 and 570.08

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Solution

The fourth proportional to 627.18, 942 and 570.08 is: 856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.18 : 942 = 570.08 : x
  2. Step 2: Convert to fraction form
    627.18/942 = 570.08/x
  3. Step 3: Cross multiply
    627.18x = 942 × 570.08
  4. Step 4: Simplify right side
    627.18x = 537,015.36
  5. Step 5: Solve for x
    x = 537,015.36/627.18
  6. Step 6: Final answer
    x = 856.24

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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.