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Finding the Fourth Proportional to 652.79, 900.51 and 456.77

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Solution

The fourth proportional to 652.79, 900.51 and 456.77 is: 630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.79 : 900.51 = 456.77 : x
  2. Step 2: Convert to fraction form
    652.79/900.51 = 456.77/x
  3. Step 3: Cross multiply
    652.79x = 900.51 × 456.77
  4. Step 4: Simplify right side
    652.79x = 411,325.95
  5. Step 5: Solve for x
    x = 411,325.95/652.79
  6. Step 6: Final answer
    x = 630.10

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Why These Related Problems?

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