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Finding the Fourth Proportional to 566.40, 848.76 and 374.16

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Solution

The fourth proportional to 566.40, 848.76 and 374.16 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 848.76 = 374.16 : x
  2. Step 2: Convert to fraction form
    566.40/848.76 = 374.16/x
  3. Step 3: Cross multiply
    566.40x = 848.76 × 374.16
  4. Step 4: Simplify right side
    566.40x = 317,572.04
  5. Step 5: Solve for x
    x = 317,572.04/566.40
  6. Step 6: Final answer
    x = 560.69

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