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Finding the Fourth Proportional to 604.90, 904.65 and 507.70

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Solution

The fourth proportional to 604.90, 904.65 and 507.70 is: 759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 904.65 = 507.70 : x
  2. Step 2: Convert to fraction form
    604.90/904.65 = 507.70/x
  3. Step 3: Cross multiply
    604.90x = 904.65 × 507.70
  4. Step 4: Simplify right side
    604.90x = 459,290.81
  5. Step 5: Solve for x
    x = 459,290.81/604.90
  6. Step 6: Final answer
    x = 759.28

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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.