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Finding the Fourth Proportional to 738.09, 1,017.84 and 458.37

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Solution

The fourth proportional to 738.09, 1,017.84 and 458.37 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.09 : 1,017.84 = 458.37 : x
  2. Step 2: Convert to fraction form
    738.09/1,017.84 = 458.37/x
  3. Step 3: Cross multiply
    738.09x = 1,017.84 × 458.37
  4. Step 4: Simplify right side
    738.09x = 466,547.32
  5. Step 5: Solve for x
    x = 466,547.32/738.09
  6. Step 6: Final answer
    x = 632.10

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1.5x scale

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.