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Finding the Fourth Proportional to 501.60, 691.89 and 435.96

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Solution

The fourth proportional to 501.60, 691.89 and 435.96 is: 601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 691.89 = 435.96 : x
  2. Step 2: Convert to fraction form
    501.60/691.89 = 435.96/x
  3. Step 3: Cross multiply
    501.60x = 691.89 × 435.96
  4. Step 4: Simplify right side
    501.60x = 301,636.36
  5. Step 5: Solve for x
    x = 301,636.36/501.60
  6. Step 6: Final answer
    x = 601.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.