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Finding the Fourth Proportional to 566.63, 848.68 and 435.66

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Solution

The fourth proportional to 566.63, 848.68 and 435.66 is: 652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 848.68 = 435.66 : x
  2. Step 2: Convert to fraction form
    566.63/848.68 = 435.66/x
  3. Step 3: Cross multiply
    566.63x = 848.68 × 435.66
  4. Step 4: Simplify right side
    566.63x = 369,735.93
  5. Step 5: Solve for x
    x = 369,735.93/566.63
  6. Step 6: Final answer
    x = 652.52

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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.