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Finding the Fourth Proportional to 602.74, 904.85 and 501.24

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Solution

The fourth proportional to 602.74, 904.85 and 501.24 is: 752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.74 : 904.85 = 501.24 : x
  2. Step 2: Convert to fraction form
    602.74/904.85 = 501.24/x
  3. Step 3: Cross multiply
    602.74x = 904.85 × 501.24
  4. Step 4: Simplify right side
    602.74x = 453,547.01
  5. Step 5: Solve for x
    x = 453,547.01/602.74
  6. Step 6: Final answer
    x = 752.48

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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.